# data[].attributes.body
Hello its me sonam

# data[].attributes.body
the angle opposite to the largest side is always the largest angle

# data[].attributes.body
Rules of congruency-
1. SSS
2. SAS
3.ASA
4. RHS
5. AAS
Isosceles triangles -
1. two sides are equal
2. angles adjacent to opposite sides are equal.
Inequalities-
1. Angle opposite to longer side is larger and vice versa
2.sum of two sides is greater than the third side.

# data[].attributes.body
If one side is 79 degree and another is 90 degree then x =
79+90+x=180
169+x=180
X=180-169
X=11 degree

# data[].attributes.body
1.Sum of all angles of a triangle is 180 degree.
2.Congruent triangles are two triangles having the same shape and size.
3.Tests of Congruency:
a)SAS Test
b)SSS Test
c)ASA Test
d)RHS Test

# data[].attributes.body
1. ASA- two angles and the included side are equal to two angle and another two included side.
2. angles opposite to equal sides of an isosceles triangle are equal.
3. the sides opposite to equal angles of a triangle are equal.
4. if three sides of a triangle are equal to three sides of another triangle, then they are congruent.
5. RHS- if one right angle along with a side and the hypotenuse are equal to another side and right angle along with hypotenuse, then they are congruent.
6.the angle opposite to the larger side is the larger angle and visa-versa.
7. sum of two sides of a triangle are greater than the third.
Triangle - Akshat Sharma
Triangle - Akshat Sharma
Triangles is a three sided polygon. It has three sides, three angles and three exterior angles.

RHS, AAS, SAS, ASA Congruency creiteria.

ASP of any Triangle is 180.

Triangles are of three types, Equilateral triangle,  Isosceles triangle and Scalene triangle.

Sum of their exterior angle is 360.

Triangle has- centroid which is the center of the triangle, altitude which is the height of the triangle and median which is the center point of the sides of all the sides ( The place where all the median meets s called the centroid of the circle). 


Aryan S Angle su
Aryan S 
Angle sum property 
Divita Joshi- Triangles
Divita Joshi- Triangles 
Triangles are closed figures with three sides. The some of all angles in a triangle are equal to 180 degree. 
Triangles which are exactly equal to each other are called congruent triangles. There are different methods to check congruence of a triangle. 
1. SAS CONGRUENCE CRITERION: This is a criterion for a two triangles whose angle is equal which is placed between two equal sides. 
2. SSS CONGRUENCE CRITERION: This criterion is for two triangles whose all three sides are equal to each other. 
3. AAS CONGRUENCE CRITERION: This criterion is for two triangles whose two angles and one side is equal to each other but the side is not bound by the two angles.
4. ASA CONGRUENCE CRITERION: This criterion is for two triangles whose two angles and one side is equal to each other BUT the side is bound by these angles on its two ends.
5. RHS CONGRUENCE CRITERION: This criterion is for two triangles whose one angle is equal to 90 degree, one side is equal and hypotenuse is equal. 

types of triangles:
1. Isosceles triangles: two equal sides 
2. Equilateral triangles: three equal sides 
3. Scalene triangles: no equal sides 


anahita
anahita 
sum of all angles is 180 , congruency-sss,sas,aas,rhs
vedika
vedika
- triangles have 3 sides
- sum of all angles of a triangle is 180*.
-an equilateral triangle's all sides are of equal measure
- a triangle with only 2 sides equal is called an isosceles triangle. it also has 2 equal angles
- a triangle with all unequal sides is called scalene triangle. it has no equal angles
- all angles in an equilateral triangle are equal.
- 2 triangles that are similar i.e. have equal length, equal measure of angles, are called congruent triangles.
-types of congruent triangles:
-SAS congruence rule (Side Angle Side)
-ASA congruence rule ( Angle Side Angle)
-RHS congruence rule ( Right Hnd Side)
-SSS conruence rule (Side Side Side)
- AAS congruence rule ( Angle Angle Side)
Anupam Sahai
Anupam Sahai
We learnt about  congruency criteria.  
Angle sum property of triangles.
Tanishka
Tanishka 
A Triangle is a three sided polygon.
-Congruence of Triangles:
-SSS
-SAS
-ASA
-RHS
-The Angle sum property of a Triangle= 180⁰
-  The sum of all exterior angles= 360⁰
Aarushi AgarwalI
Aarushi Agarwal
I have learnt the following concepts in the chapter triangles:
1) I learnt the various tests of congruency which are SSS, SAS, RHS, ASA, AAS,CPCT.
2) the second concept I learnt was the inequalities of triangles. Which are -if two sides of a triangle are unequal the angle opposite to the longer side is larger or greater.
                                 - the sum of any two sides of a triangle is greater than the third side.
3) third concept concerned few properties of a triangle which are - angles opposite to equal sides of an isoscele triangle are equal.
                 - the sides opposite to equal angles of a triangle are equal.
Om Chavan :
Om Chavan : 

# data[].attributes.body
Triangles have  an angle sum property which proves that the sum of angles in a triangle equal to 180 degrees.
Triangles have three sides three vertices three angles and etc
Triangles have many congruence rules that can be used to prove such as 
RHS Congruence
SSS Congruence
SAS  Congruence 

# data[].attributes.body
Yatee-
• A triangle has three sides.
• All the angles of a triangle add up to 180°.
• There are three kinds of triangles-
i) Equilateral triangle ( All angles and sides are equal)
ii) Isosceles triangle ( two angles and sides are equal)
iii) scalene triangle ( no angles or sides are equal)
• Types of congruence-
~SSS (side, side, side)
~SAS (side, angle, side)
~AAS (angle, angle, side)
~ASA (angle, side, angle)
~RHS (right, hypotenuse, side)

# data[].attributes.body
ARYAN S
Traingles are of 3 types
1.Equilateral
2.Scalene
3.Isosceles

Traingles add up to 180

Angle sum property

Types of congr.
1.SSS
2.SAS
3.ASA
4.RHS

# data[].attributes.headline
Link to understand the chapter more clearly:

# data[].attributes.subject
Link to understand the chapter more clearly:

# data[].attributes.body
https://youtu.be/ub82Xb1C8os

# data[].attributes.body
As this angle is 45 degree

# data[].attributes.body
1)Angle sum property — sum of all angles of a triangle is 180 degree.
2)For the congruence of triangles the criterion are — SSS, SAS, ASA, AAS AND RHS.
3)To show that the two triangles are congruent at least one of these criterion should be used.
4)In a triangle the side opposite to the larger angle is larger and the side opposite to the smaller angle is smaller.

# data[].attributes.body
RHS congruence criterion
SSS congruence criterion
SAS congruence criterion
AAS congruence criterion
ASA congruence criterion

# data[].attributes.body
erty


more_vert
RuhiEquilateral-
Ruhi
Equilateral- 3 sides are equal
Isosceles-2 sides are equal
Scalene- all the sides are different
Aaryan Giri
Aaryan Giri
Exterior angle sum=360

Yash Narayan -Triangles chapter summary
Yash Narayan -Triangles chapter summary 
-Definition of a triangle: a polygon which has 3 sides and angles is called a triangle.
-Properties: 
-Angle sum property: All 3 angles have a sum of 180 degrees.
 -Exterior angle property: The angle formed by a produced side is equal to the opposite angles.
-Congruency:
-SAS: Side, angle, side. If a side , angle and side are equal.
 -ASA:Angle, side, angle. If an an
-SSS: Side, side, side
-AAS: Angle, angle, side
-RHS: Right, hypotenuse, side
CPCT- corresponding parts of a congruent triangle
CPCT- corresponding parts of a congruent triangle
Triangles
Triangles
A triangle is a polygon with three edges and three vertices. all angles add up to 180 degree.
SUM OF 2 INTERIOR ANGLES=EXTERIOR ANGLE :(
SUM OF 2 INTERIOR ANGLES=EXTERIOR ANGLE :(
Triangles
Triangles
In a pair of triangles if all three corresponding sides and three corresponding angles are exactly equal, then the triangles are said to be congruent. In congruent triangles, the corresponding parts are equal and are written as CPCT 

# data[].attributes.body
5. Angle sum property


more_vert
RuhiEquilateral-
Ruhi
Equilateral- 3 sides are equal
Isosceles-2 sides are equal
Scalene- all the sides are different
Aaryan Giri
Aaryan Giri
Exterior angle sum=360

Yash Narayan -Triangles chapter summary
Yash Narayan -Triangles chapter summary 
-Definition of a triangle: a polygon which has 3 sides and angles is called a triangle.
-Properties: 
-Angle sum property: All 3 angles have a sum of 180 degrees.
 -Exterior angle property: The angle formed by a produced side is equal to the opposite angles.
-Congruency:
-SAS: SIde, angle, side. If 
 -ASA:Angle, side, angle
-SSS: Side, side, side
-AAS: Angle, angle, side
-RHS: Right, hypotenuse, side
CPCT- corresponding parts of a congruent triangle
CPCT- corresponding parts of a congruent triangle
Triangles
Triangles
A triangle is a polygon with three edges and three vertices. all angles add up to 180 degree.
SUM OF 2 INTERIOR ANGLES=EXTERIOR ANGLE :(
SUM OF 2 INTERIOR ANGLES=EXTERIOR ANGLE :(
Triangles
Triangles
In a pair of triangles if all three corresponding sides and three corr

# data[].attributes.body
Triangle : It is a closed figure formed by three intersecting lines. It has three sides, three angles and three vertices. The triangle ABC will be denoted as ∆ ABC. Here, ∆ ABC have three sides AB, BC, CA; three angles ∠ A, ∠ B, ∠ C and three vertices A, B, C.

# data[].attributes.body
As sum of all angles = 180 so
30+60+x=180
X=180-90
X=90

# data[].attributes.headline
sum of exterior angles of a triangle is equal to 360

# data[].attributes.subject
sum of exterior angles of a triangle is equal to 360

# data[].attributes.body
THE SUM OF INTERIOR ANGLES ARE EQUAL TO OR GREATER THAN EXTERIOR ANGLE
THERE R FOUR TYPES OF CONGRUENCIES-
SSS
SAS
AAS
RHS
SUM OF ALL INTERIOR ANGLES=180
SUM OF ALL EXTERIOR ANGLES=360

# data[].attributes.body
The sum of all angles = 180 degree
Sum of all exterior angle = 360 degree

# data[].attributes.body
Angles opposite to equal sides of a triangle are equal.

# data[].attributes.body
also learnt about median, using RHS, SAS, ASA or AAS and for proving to triangles, use C.P.C.T
use the properties of a transversal parallel lines, i.e. interior angles are equal to each other, to show congruence of given triangles, you can choose SAS rule to show congruence of triangles and then use C.P.C.T

# data[].attributes.body
now i know everything about this chapter without actually studying it:)
thank u guys

# data[].attributes.body
In an equilateral triangle sum of all angles is 60 degree

# data[].attributes.body
types of congruency like
asa
sas
aas
rhs
sss
angle sum property (all angles of a triangle add up to 180 degrees)
exterior angle property (exterior angle= sum of opposite interior angles

# data[].attributes.body
Ruhi
Equilateral- 3 sides are equal
Isosceles-2 sides are equal
Scalene- all the sides are different

# data[].attributes.body
Exterior angle sum=360

# data[].attributes.headline
Yash Narayan -Triangles chapter summary 

# data[].attributes.subject
Yash Narayan -Triangles chapter summary 

# data[].attributes.body
-Definition of a triangle: a polygon which has 3 sides and angles is called a triangle.

-Properties:
-Angle sum property: All 3 angles have a sum of 180 degrees.
-Exterior angle property: The angle formed by a produced side is equal to the opposite angles.

-Congruency:
-SAS: Side, angle, side. If a side , angle and side are equal.
-ASA:Angle, side, angle. If an angle , a side and angle are equal.
-SSS: Side, side, side. If all 3 sides are equal.
-AAS: Angle, angle, side. If 2 angles are equal
-RHS: Right, hypotenuse, side. Only works for right angle triangles. If right angle, hypotenuse and any other side are equal.

Inequalities:
-Angles opposite to the larger side are larger.
-Side opposite to the largest angle is longer.

# data[].attributes.headline
CPCT- corresponding parts of a congruent triangle

# data[].attributes.subject
CPCT- corresponding parts of a congruent triangle

# data[].attributes.body
A triangle is a polygon with three edges and three vertices. all angles add up to 180 degree.

# data[].attributes.headline
SUM OF 2 INTERIOR ANGLES=EXTERIOR ANGLE :(

# data[].attributes.subject
SUM OF 2 INTERIOR ANGLES=EXTERIOR ANGLE :(

# data[].attributes.body
A triangle is a three-sided figure and is also a polygon.There are different kinds of rules of Congruency based on the figure and size of the triangles.
Some of the types of congruency are-
1.)SAS congruency rule- This is the law where two triangles are similar to each other by the same side, same angle, another side.
2.)ASA Congruency rule-This is the rule where when two triangles have two similar angles and one equal side.
3.)SSS Congruency rul e-This is when both the similar triangles have all three equal sides.
4.)RHS Congruency rule-This is when the triangles have a similar right angle, a similar side and an equal hypotenuse.

This is the example of SSS congruency rule.

# data[].attributes.headline
Triangles- By Tanya            1.	Congruence rules                •	RHS (Right angle, hypotenuse, side)               •	SSS (All three sides are equal)                              •	SAS (Side, angle, side)          •	ASA (Angle, side angle)                                     •	AAS (Angle, angle, side)                                         2.	Properties of triangle    3.	Types of triangles         4.	Theorams                         •	Each angle of an equilateral triangle is equal           •	Sum of any two sides of a triangle is bigger than the third                                 •	In any triangle the side opposite to the larger angle is longer, and the same for its converse.           •	Sides opp to equal angles of a triangle are equal and its converse 

# data[].attributes.subject
Triangles- By Tanya            1.	Congruence rules                •	RHS (Right angle, hypotenuse, side)               •	SSS (All three sides are equal)                              •	SAS (Side, angle, side)          •	ASA (Angle, side angle)                                     •	AAS (Angle, angle, side)                                         2.	Properties of triangle    3.	Types of triangles         4.	Theorams                         •	Each angle of an equilateral triangle is equal           •	Sum of any two sides of a triangle is bigger than the third                                 •	In any triangle the side opposite to the larger angle is longer, and the same for its converse.           •	Sides opp to equal angles of a triangle are equal and its converse 

# data[].attributes.body
5. Angle sum property

# data[].attributes.body
In a pair of triangles if all three corresponding sides and three corresponding angles are exactly equal, then the triangles are said to be congruent. In congruent triangles, the corresponding parts are equal and are written as CPCT

# data[].attributes.body
The things I learnt from the chapter triangle is :
1)Sum of all angles in a triangle is 180 degrees.
2)Congruence tests:SSS,SAS,ASA,RHS
3)Triangles based on angles
4)proving two triangles congruent .
5)Exterior angle=Sum of opposite interior angles of a triangle.

# data[].attributes.headline
Exterior angle=Sum of opp.interior angles of a triangle

# data[].attributes.subject
Exterior angle=Sum of opp.interior angles of a triangle

# data[].attributes.body
Angle sum property- all the angles of a triangle add up to 180 degree
The congruence rules are-
SAS- side angle side property
SSS- Side side side property
ASA- Angle side angle property
RHS- congruence criterion
any two sides of a triangle add up to be longer than the third
any triangle can have 2 acute and 1 obtuse angle.
Triangles have three sides and three vertices.
There are three types of triangles are...
1) Equilateral
2) isosceles
3)scalene

Angles of a triangle can be labelled using alphabets to specify the angle.

types of triangles ...

# data[].attributes.body
Aryan S
SSS,RHS,SAS,ASA

# data[].attributes.body
in this chapter we have learnt about the following things:-
1) Basics of Triangles and Criteria for Congruence of Triangles.
2) Congruent Tringles.
3) Congruence of Triangles.
4) Theorems
5) Congruence rule

# data[].attributes.body
The types of congruency are
- sss
-sas
-asa

# data[].attributes.body
Two triangles are said to be congruent by 5 tests.They are:-
1)SSS Test of congruency(two triangles are said to be congruent if all the 3 sides of the triangles have same measure)
2)SAS Test of congruency(two triangles are said to be congruent if one angle between the two sides of the triangles and they have same measure)
3)ASA Test of congruency(two triangles are said to be congruent if one side is between two angles of a triangle and they have same measure)
4)AAS Test of congruency(two triangles are said to be congruent if  side is beside two angles and they have same measure)
5)RHS Test of congruency(two triangles are said to be congruent if both the triangles are right-angled and the hypotenuse and any other side have same measure)
Properties of triangles
1)The sum of all angles of a triangle is 180 degrees
eg:-if 2 angle of a triangle are x and y respectively then the third angle will be 180-(x+y).
2)The sum of any two sides of a triangle is greater than the third side.
3)In a triangle ABC if AB>AC then angle ACB>ABC.
4)In a triangle ABC if BC is extended to D then
angle ACD=angle BAC+angleABC.
Below is the diagram to prove angle sum property.

# data[].attributes.body
~ The sum of two int. angles is equal to (or greater) than an exterior angle...
~ Sum of all sides in a triangle is equal to 180°
~ Many rules such as SSS, SAS, AAS, ASA, RHS
~ CPCT - Corresponding parts of congruent triangles
~ Types of triangles: Acute, obtuse, reflex, right angle
(omg pls excuse my drawing its soooo bad!!)

# data[].attributes.body
if two sides of a triangle along with the included angle are equal to another two sides of another triangle along with the included angle, then they are congruent.
THEOREMS IN THE CHAPTER:
1. ASA- two angles and the included side are equal to two angle and another two included side.
2. angles opposite to equal sides of an isosceles triangle are equal.
3. the sides opposite to equal angles of a triangle are equal.
4. if three sides of a triangle are equal to three sides of another triangle, then they are congruent.
5. RHS- if one right angle along with a side and the hypotenuse are equal to another side and right angle along with hypotenuse, then they are congruent.
6.the angle opposite to the larger side is the larger angle and visa-versa.
7. sum of two sides of a triangle are greater than the third.

# data[].attributes.body
Triangles is a three sided polygon. It has three sides, three angles and three exterior angles.

RHS, AAS, SAS, ASA Congruency creiteria.

ASP of any Triangle is 180.

Triangles are of three types, Equilateral triangle,  Isosceles triangle and Scalene triangle.

Sum of their exterior angle is 360.

Triangle has- centroid which is the center of the triangle, altitude which is the height of the triangle and median which is the center point of the sides of all the sides ( The place where all the median meets s called the centroid of the circle).

# data[].attributes.body
Aryan S
Angle sum property

# data[].attributes.body
Triangles are closed figures with three sides. The some of all angles in a triangle are equal to 180 degree.
Triangles which are exactly equal to each other are called congruent triangles. There are different methods to check congruence of a triangle.
1. SAS CONGRUENCE CRITERION: This is a criterion for a two triangles whose angle is equal which is placed between two equal sides.
2. SSS CONGRUENCE CRITERION: This criterion is for two triangles whose all three sides are equal to each other.
3. AAS CONGRUENCE CRITERION: This criterion is for two triangles whose two angles and one side is equal to each other but the side is not bound by the two angles.
4. ASA CONGRUENCE CRITERION: This criterion is for two triangles whose two angles and one side is equal to each other BUT the side is bound by these angles on its two ends.
5. RHS CONGRUENCE CRITERION: This criterion is for two triangles whose one angle is equal to 90 degree, one side is equal and hypotenuse is equal.

types of triangles:
1. Isosceles triangles: two equal sides
2. Equilateral triangles: three equal sides
3. Scalene triangles: no equal sides

# data[].attributes.body
sum of all angles is 180 , congruency-sss,sas,aas,rhs

# data[].attributes.body
- triangles have 3 sides
- sum of all angles of a triangle is 180*.
-an equilateral triangle's all sides are of equal measure
- a triangle with only 2 sides equal is called an isosceles triangle. it also has 2 equal angles
- a triangle with all unequal sides is called scalene triangle. it has no equal angles
- all angles in an equilateral triangle are equal.
- 2 triangles that are similar i.e. have equal length, equal measure of angles, are called congruent triangles.
-types of congruent triangles:
-SAS congruence rule (Side Angle Side)
-ASA congruence rule ( Angle Side Angle)
-RHS congruence rule ( Right Hnd Side)
-SSS conruence rule (Side Side Side)
- AAS congruence rule ( Angle Angle Side)

# data[].attributes.body
We learnt about  congruency criteria.
Angle sum property of triangles.

# data[].attributes.body
A Triangle is a three sided polygon.
-Congruence of Triangles:
-SSS
-SAS
-ASA
-RHS
-The Angle sum property of a Triangle= 180⁰
-  The sum of all exterior angles= 360⁰

# data[].attributes.body
Aarushi Agarwal
I have learnt the following concepts in the chapter triangles:
1) I learnt the various tests of congruency which are SSS, SAS, RHS, ASA, AAS,CPCT.
2) the second concept I learnt was the inequalities of triangles. Which are -if two sides of a triangle are unequal the angle opposite to the longer side is larger or greater.
- the sum of any two sides of a triangle is greater than the third side.
3) third concept concerned few properties of a triangle which are - angles opposite to equal sides of an isoscele triangle are equal.
- the sides opposite to equal angles of a triangle are equal.

# data[].attributes.body
RHS congruence criterion
SSS congruence criterion
SAS congruence criterion
AAS congruence criterion
ASA congruence criterion
The sum of all angles in triangle is 180.
Exterior angle is 360.
Triangles are of three types, Equilateral triangle,  Isosceles triangle and Scalene triangle.
area of triangle = 1/2 x base x height

# data[].attributes.body
Triangles
-3 sided polygon
-Exterior angle property of a triangle is where the 2 adjacent angles,opposite to the exterior angle, when added give the exterior angle
-Angle Sum property of a triangle is where all the three angles of a triangle add up to 180
-There are 3 types of triangles based on angles. They are:
Right angled triangle[1 angle is 90]
Acute angled triangle[all angles below 90]
Obtuse angled triangle[1 angle more than 90]
-There are 3 types of triangles based on the length of the sides. They are:
Equilateral triangle[all sides equal]
Isoceles triangle[two sides equal]
Scalene triangle[all sides unequal]
-Triangle Congruency:
SSS[side side side]
ASA[angle side angle]
AAS[angle angle side]
ASS[angle side side]
RHS[right hypotenuse side]

# data[].attributes.body
In this chapter, we learned quite a handful in triangles:
1. Criteria for Congruency -
a. SAS: side angle side congruency.
b. ASA: angle side angle congruency.
c. AAS: angle angle side congruency.
d. SSS: side side side congruency.
e. RHS: right angle hypotenuse side congruency

2. Properties of a triangle:
a. Sum of all angles is 180degrees.
b. The sides opposite to equal angles of a triangle are equal.
c. Angles opposite to equal sides of an isosceles triangle are equal.

3. Inequalities of triangles:
a. If two sides of a triangle are unequal, the angle opposite to the longer side is larger.
b. The side opposite to the larger angle is longer.
c. The sum of any two sides of a triangle is greater than the 3rd side.

# data[].attributes.body
RHS congruence criterion
SSS congruence criterion
SAS congruence criterion
AAS congruence criterion
ASA congruence criterion

# data[].attributes.body
Properties of a triangle:
-The sum of the angles of a triangle is 180
-A triangle has three sides
-The sides opposite to equal angles of a triangle are equal.
-Angles opposite to equal sides of an isosceles triangle are equal.

The three types of triangle are:
a. Equilateral triangle- All angles and sides are equal
b. Isosceles triangle- Two sides and angles are equal
c. Scalene triangle- No sides and angles are equal

The congruence are:
a. SSS (side side side)
b. SAS (side angle side)
c.  ASA (angle side angle)
d.  ASS (angle side side)
e. RHS (right hypotenuse side)

# data[].attributes.body
The sum of each angles of a triangle is 180.
A triangle has 3 sides.
There are three types of triangles-
1) Equilateral triangle
2) Isosceles triangle
3) Scalene triangle
To show if 2 triangles are congruent,there are a few rules-
1) SAS
2)AAS
3)RHS
4)SSS
5)ASA
A triangle has 3 angles, two acute and one obtuse.

# data[].attributes.body
Manit
1)All types of congruence
ASA,AAS,RHS SAS
2)Inequalities
sum of 2 sides is always greater than the 3rd side
The largest sides is vertical to the largest angle
3) New terms- Altitude ,median, angle bisector
4)Types of triangles Equilateral triangle, Isosceles Triangle,Scalene Triangle

# data[].attributes.body
1.Angle sum property- all the angles of a triangle add up to 180 degree.
2. congruency-
a-SAS-Side angle side
b-SSS-Side Side Side
c-ASA-Angle Side Angle
d-AAS-Angle Angle Side
and RHS
3. Congruency-triangles similar to one another are congruent .
4.Triangles have 3 sides and three vertices.
5. There are 3 types of triangles-
a-equilateral
b-isosceles
c-scalene
6.Types of triangles-
acute,obtuse,reflex,right
7.Exterior angle property-
(refer to the image below)
angle  1 + angle  2= angle 3

# data[].attributes.body
-ASA congruency
-SAS congruency
-SSS congruency
-Angle Sum property
-Congruency
-Triangles are three sided polygons
-They can be of three types namely Right angled triangle... Isosceles and Equilateral triangle
-If two figures are Identical in shape and size they are congruent to each other.
-Angles opposite to to equal sides of a triangle are equal.
-Sum of any two sides of a triangle are greater than the 3rd side.
-Two circles of the same radii are congruent to each other.

Refer to the fig. below For the last point ( though I don't think they are congruent but still..)

# data[].attributes.body
The things I learnt in the chapter triangles is :
1)Sum of all angles

# data[].attributes.headline
What  have I learnt in the triangles chapter (Anushka Bhatt ) 

# data[].attributes.subject
What  have I learnt in the triangles chapter (Anushka Bhatt ) 

# data[].attributes.body
1)Triangles have 2  acute angles and 1 obtuse angle
2) sum of triangles is 180 degree
3) There are three types of triangle
4) Triangles can be congruent
Congruent - the exact same shape and size
Criteria for congruency
i) SSS (side - side - side )
ii)SAS( side -  angle - side )
iii)ASA (angle - side - angle )
iv) AAS ( angle -angle - side )
v) RHS (right angle - hypotenuse - side )
5)Inequalities in triangle

# data[].attributes.body
There are 3types of triangles.equilateral,isoceles,scalene triangle.

In a triangle sum of all angles is equal to 180 degree

Exterior angle is equal to sum of  2 opposite interior angles

There are 4 types of congruencies

SSS-side side side

SAS-side angle side

ASA-angle side angle

RHS-right angle hypothnuous side

If 2 sides of a triangle are unequal,the angle opposite to the longer side is larger

The sum of any 2sides is greater than the third side

In any triangle the side opposite to the larger angle is longer.

# data[].attributes.body
=triangles have 3 sides, 3 angles and 3 vertices.
1. Congruence of Triangles
-SAS
-ASA
-AAS
-RHS
-SSS
2. Properties-
a. Angles opposite to equal sides of an isosceles triangle are equal.
b. The sides opposite to equal angles of a triangle are equal.
c. the sum of all angles of a triangle is 180.
3. Inequalities in a Triangle-
a. If 2 sides of a triangle are unequal, the angle opposite to the longer side is larger.
b. The side opposite to the larger angle is longer.
c. The sum of 2 sides of a triangle is greater than 3rd side.

# data[].attributes.body
The triangles which are. Exactly similar to each other are known as congruent triangles.

# data[].attributes.headline
Sidhesh (My Revision Of Chapter Triangles)

# data[].attributes.subject
Sidhesh (My Revision Of Chapter Triangles)

# data[].attributes.body
Triangles have  an angle sum property which proves that the sum of angles in a triangle equal to 180 degrees.
Triangles have three sides three vertices three angles and etc
Triangles have many congruence rules that can be used to prove such as
RHS Congruence
SSS Congruence
SAS  Congruence

# data[].attributes.body
sum of all sides of a triangle is 180
the area of a triangle is 1/2.base.height
Different congruence rules that apply are
*SAS
*SSS
*ASA
*RHS
triangles are divided into
right angeled
isosceles
scalene
equilateral

# data[].attributes.headline
in isosceles triangles, the angles of the equal sides are equal😉

# data[].attributes.subject
in isosceles triangles, the angles of the equal sides are equal😉

# data[].attributes.body
-shriya

# data[].attributes.body
Triangles have three sides. There are 4 types of triangles -
1) Scalene
2)Right Angle
3) Isosceles triangle
4) Equilateral Triangle
Triangles have Angle sum property. ∠1 + ∠2 + ∠3 = 180 degree.
There are 5 types of Congruence -
1) SSS
2) ASA
3) SAS
4) AAS
5) RHS

# data[].attributes.body
1) Congruence:-  Some trianges can be congruent to each other by many properties i. e. >
i) Side angle side(SAS)
ii) Angle side angle(ASA)
iii) Right hypotenuse side(RHS)
iv) Side side side(SSS)

2) Properties:- All triangles have certain types of properties i. e. >
i) Angle sum property: The sum of all angles of a triangle is =180°
ii) Exterior angle property: The sum of angle 1 and angle 2 is= The exterior angle
iii) Sum of angle 1 and 2: The sum of angle 1 and angle 2 is greater than the third side

3) Types of triangles:-
i) Acute angled triangle: All the angles of this triangle are acute angles(less than 90°)
ii) Right angled triangle: One of the angles is equal to 90° and the longest side of the triangle is called hypotenuse
iii) Equilateral:- All sides are equal(60°)
iv) Isosceles: Base angles are equal

# data[].attributes.headline
what I have learnt in triangles is that the angle opposite to the largest length is the largest angle

# data[].attributes.subject
what I have learnt in triangles is that the angle opposite to the largest length is the largest angle

# data[].attributes.body
-Om

# data[].attributes.body
Write all the content which you have studied in the chapter 7 triangles

# data[].attributes.headline
Chapter 7 : Triangles (Revision) - Joanne Jenoy

# data[].attributes.subject
Chapter 7 : Triangles (Revision) - Joanne Jenoy

# data[].attributes.body
Chapter 7 introduces us to the various properties and studies of triangles, such as the following :-
1. Congruence of triangles
2. Rules of congruence
3. Inequalities in a triangle

There are different types of congruence rules such as :-
1. SAS  Congruence Criterion
= side - angle - side
2. SSS Congruence Criterion
= side - side - side
3. ASA Congruence Criterion
= angle - side - angle
4. AAS Congruence Criterion
= angle - angle - side
5. CPCT Criterion
= corresponding parts of a congruent triangle
6. RHS Congruence Criterion

Triangles have 3 sides and 3 vertices.

= right angle - hypotenuse - side
There are a few theorems as well given below :-
1. Sum of all angles of a triangle is 180 degrees.
2. Angles opposite to equal sides of an isosceles triangle are equal.
3. The sides opposite to equal angles of a triangle are equal.
4. If two sides of a triangle are unequal, the angle opposite to the longer side is larger.
5. If two angles of a triangle are unequal, the side opposite to the larger angle is larger.
6. Sum of opposite interior angles is equal to the exterior angle.
7. The sum of 2 sides of a triangle is greater than the third side.
8. The angles of a triangle define the ratio between its sides.

# data[].attributes.body
The things I've learnt from the Chapter Triangles are:-
1.) Congruence - When two figures are placed on top of each other and they cover completely, then the two figures are said to be congruent.
2.) The criteria of congruence are : SAS,SSS,ASA,AAS,RHS
3.) SAS ( Side Angle Side) - When two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the two triangles are said to be congruent.
4.) SSS ( Side Side Side) - When three sides of a triangle are equal to the three sides of another triangle, then they are said to be congruent.
5.) ASA- ( Angle Side Angle) - When two angles and the included side of one triangle are equal to two sides and the included triangle of another triangle, they are said to be congruent.
6,) AAS ( Angle Angle Side)- When two adjacent angles and their corresponding side is equal to the two angles and the corresponding side of another triangle, then they are said to be congruent.
7.) RHS-(Right Hypotenuse Side) - When the length of the hypotenuse and one side of one triangle is equal to the hypotenuse and one side of another triangle, then the two triangles are said to be congruent.
8.) If the two triangles are congruent then the remaining parts will be equal due to C.P.C.T ( Corresponding Parts Of Congruent Triangle)
9.) The Inequalities Of a Triangle are :-
a.)   The angle opposite to the larger side is greater.
b.) The side opposite to largest angle is longer.
c.) The sum of any two sides is equal  or greater than the third side.

# data[].attributes.headline
What I have Learnt in Triangles - Shaurya Gupta

# data[].attributes.subject
What I have Learnt in Triangles - Shaurya Gupta

# data[].attributes.body
Triangles have 3 sides and 3 vertices.

The sum of the angles of a triangle is 180°.

Triangles can be of 3 types based on their sides and angles. These are:    a) Equilateral - All sides and angles               are equal.                                  b) Isosceles - Adjacent sides are equal and the base angles are equal. c) Scalene - All sides and angles are different.

When 2 triangles are equal in all aspects and can be completely superimposed on each other, they are said to be congruent. There are 5 types of congruence criteria:            a) Side-Side-Side                                b) Side-Angle-Side                                c) Angle-Side-Angle                            d) Angle-Angle-Side                            e) Right Angle-One Side-Hypotenuse (This congruence is only in right angles)

Exterior Angle property: The sum of two opposite interior angles in a triangle is equal to the exterior angle.

Double Exterior angle property: One of the interior angles of the triangle is equal to the (sum of the other 2 exterior angles) - (180°)

Heron's formula: for any triangle of sides a, b, c, and semi-perimeter s, [where s= (a+b+c)½], area of triangle is √{s(s-a)(s-b)(s-c)}

Inequalities in a triangle - The interrelation of the sides and angles of a triangle is known as inequalities of a triangle.                                        a) If no sides in a triangle are equal, the largest angle is opposite the longest side.                                        b) If no sides in a triangle are equal, the longest side is opposite the largest angle.                                        c) The sum of 2 sides of a triangle is always greater than the third side.    d) The angles of a triangle define the ratio between its sides.