Addy's Amazing Geometry Portfolio! by Adaline Linscott

The vocab words that I chose, are words that I feel are most important and connect with almost everything in Geometry.

adaline_linscott — 2018-12-10 20:29:18 UTC

1. Ray- a portion of a line that starts at a point and continues forever in one direction.
2. Reflection- Fold
3. Rotation- Rotate
4. Conditional- If p, the q
5. Converse- If q, then p
6. Complementary Angles- two measures that add up to 90 degrees.
7. Supplementary angles- two angles whose measure add up to 180 degrees.
8. Linear Angles- a pair of adjacent angles whose noncommon sides are opposite rays.
9. Angle Bisector- A ray that divides an angle into two angles that measure the same.
10. Perpendicular Bisector- A line perpendicular to the segment at the segment's midpoint.
11. Median- A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
12. Interior angle- An angle formed by two sides of a polygon with a common vertex.
13. Right Triangle- A triangle with one right angle.
14. Acute Triangle- A triangle with three acute angles.
15. Obtuse Triangle- A triangle with one obtuse angle.
16. Vertex Angle- The angle formed by two legs of an isosceles triangle.
17. Parallel- lines that lie on the same plane but do not intersect.
18. Exterior Angle- An angle formed by one side of the polygon and the extension of an adjacent side.
19. Polygon- A closed plane figure formed by three or more segment such that each segment intersect exactly two two other segments only at their endpoints and no two segments with a common endpoint are collinear.
20. Symmetry- When the transformation of a figure allows the preimage and the image to coincide.

The Triangle Sum Theorem

adaline_linscott — 2018-12-11 20:00:23 UTC

The sum of the angles measures of a triangle is 180 degrees.

Exterior Angle Theorem

adaline_linscott — 2018-12-11 20:17:34 UTC

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Isosceles Triangle Theorem

adaline_linscott — 2018-12-11 20:18:44 UTC

If two sides of a triangle are congruent, the the two angles opposite the sides are congruent.

Equilateral Triangle Theorem

adaline_linscott — 2018-12-11 20:19:40 UTC

If a triangle is equilateral, then it is equiangular.

Rules for Rotations Around the Origin on a Coordinate Plane.

adaline_linscott — 2018-12-11 20:21:39 UTC

1. 90 degree rotation counterclockwise = (x,y)=(-y,x)
2.180 degree rotation=(x,y)=(-x,-y)
3. 270 degree rotation counterclockwise = (x,y) = (y,-x)
4. 360 degree= (x,y) = (x,y)

Transitive Property of Equality

adaline_linscott — 2018-12-11 20:27:11 UTC

If a=b and b=c, then a=c

Multiplication Property of Equality

adaline_linscott — 2018-12-11 20:29:24 UTC

If a=b, then ac=bc

Properties of Rigid Motions

adaline_linscott — 2018-12-11 20:30:24 UTC

Rigid Motions preserve distance, angle measure, and betweenness.

Side-Angle Relationships in Triangles

adaline_linscott — 2018-12-11 20:32:37 UTC

If two sides of a triangle are not congruent, then the larger angle is opposite the longer side.

Angle-Side Relationships in Triangles

adaline_linscott — 2018-12-11 20:33:41 UTC

If two angles of a triangle are not congruent, then the longer side is opposite the larger angle.

Midsegments of Triangles

adaline_linscott — 2018-12-12 20:02:12 UTC

Find BD
BD= 4x-3
AE= 6x+2
- x=4
- BD=13

Exterior Angles

adaline_linscott — 2018-12-12 20:18:49 UTC

Find -7y+5y=180
-12y=180
-y=15
-
-

Interior Angles

adaline_linscott — 2018-12-12 20:23:48 UTC

Find the missing angle
A pentagon has 5 sides.
-The interior angle measures have a sum of 540 degrees.
- 90+120+108+100=418
- 540-418=122
- the missing angle is 122 degrees.

Supplementary Angles

adaline_linscott — 2018-12-12 20:33:51 UTC

<(x+4)+<(3x+2)=90 degrees
-4x+6=90 degrees.
-x=21
-<(x+4)=25 degrees
-<(3x+2)=65 degrees

Distance Formula

adaline_linscott — 2018-12-13 20:04:55 UTC

Find the distance between triangle and the circle using the distance formula.
-Triangle and the circle. __________
-Distance Formula=--/(x2-x1)2+(y2-y1)2 (I tried my best)
- Triangle=(3,4)
- Circle= (1,-5)
- D= square root of 85
- D= 9.2

Strengths

adaline_linscott — 2018-12-13 20:39:12 UTC

- Solving for variables
- Working with constructions
- Identifying Angles

Weakness

adaline_linscott — 2018-12-14 18:50:42 UTC

- Proofs
- I don't particularly enjoy proofs because its not really how my brain works. My brain just maps things out in a different way. I got through them, I understood how they worked, and what they were supposed to do, but piecing them together on my own was a bit challenging.

Angles!

adaline_linscott — 2018-12-14 18:56:20 UTC

I can find angles everywhere. I see angles when I look and different shapes and objects around my house. Everything that you see is at an angle to something else.
For example:
1. There are angles in picture frames
2. My Christmas tree makes an angle with the floor.

Polygons

adaline_linscott — 2018-12-14 19:08:49 UTC

4. The bookmark that I use for my favorite book is a convex polygon.z
5. The net in my softball pitchback is made up of little squares
6. The keys on my piano are rectangles.

Distance

adaline_linscott — 2018-12-17 15:38:50 UTC

7. If I know how long it takes to get from Fairbury to Beatrice, and I know how long it takes to get from Fairbury to Lincoln, then I can calculate the time it takes to get from Beatrice to Lincoln.