2A Key Learnings Chapter 5 & 6 by Julie Greene https://padlet.com/greenej7/ofxim33ed0vf Write what you learned about each topic. en-us 2018-11-29 17:18:45 UTC 2024-07-26 06:22:27 UTC hello@padlet.com This only works for similar right triangles greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423323 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423323 I can solve for segment lengths using proportions greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423325 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423325 Similar triangles are same shape different size greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423327 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423327 One half of an equilateral triangle greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423328 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423328 An isosceles right triangle greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423329 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423329 The sum of angle measures in triangles is 180 greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423331 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423331 I can classify triangles by side lengths - scalene, isosceles, equilateral greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/309423333 2018-11-29 17:18:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309423333 Things we learned https://padlet.com/greenej7/ofxim33ed0vf/wish/309859901 The 2 smallest sides of a triangle must add up to more than the length of the longest side.


]]> 2018-11-30 16:42:21 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309859901 https://padlet.com/greenej7/ofxim33ed0vf/wish/309859921 Range of possible values for an unknown side of a triangle can be found by subtracting the other sides from each other and the max is determined by adding the 2 sides together.]]> 2018-11-30 16:42:23 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309859921 Types of triangles iscoles at least 2 sides are congruent. Scalene no sides are congruent. Equilateral all 3 sides are congruent. https://padlet.com/greenej7/ofxim33ed0vf/wish/309860025 2018-11-30 16:42:34 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309860025 Learned https://padlet.com/greenej7/ofxim33ed0vf/wish/309860190 Triangle Sum Theorum
Exterior Angle Theorum
Base Angles Theorum
Finding Angles and Lines 
If two lines in a triangle are congruent, the angles are too
Proofs of triangles 

]]> 2018-11-30 16:42:50 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309860190 things we learned on day 1 kathryn_gable_342 https://padlet.com/greenej7/ofxim33ed0vf/wish/309860895 How to classify triangles by angles, acute right and obtuse, based on Pythagorean theorem. Also how we classified by sides, scalene isosceles and equilateral. How to know what side lengths will make a triangle. ]]> 2018-11-30 16:44:00 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309860895 Classifying Triangle https://padlet.com/greenej7/ofxim33ed0vf/wish/309861124 Triangles can be classified by angle (acute, right, or obtuse), and by side properties (scalene, isosceles, or equal lateral)]]> 2018-11-30 16:44:23 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309861124 https://padlet.com/greenej7/ofxim33ed0vf/wish/309861376 When all sides are congruent it’s an equilateral triangle

]]> 2018-11-30 16:44:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309861376 https://padlet.com/greenej7/ofxim33ed0vf/wish/309861444 Triangles have 3 sides. The sum of any two sides must be greater than the measure of the third side in order to make a triangle. Isosceles have two congruent sides. Scaelene have no congruent sides. Equilateral have 3 congruent sides. Triangles can also be classified by angle measures (acute and obtuse.]]> 2018-11-30 16:44:50 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309861444 Things we learned ava_white_420 https://padlet.com/greenej7/ofxim33ed0vf/wish/309861466 the sum of any two sides must be greater than the third ]]> 2018-11-30 16:44:52 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309861466 https://padlet.com/greenej7/ofxim33ed0vf/wish/309861826 The two smallest sides sum must be greater then the third side for it to be a triangle. ]]> 2018-11-30 16:45:28 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309861826 deja_smith_512 https://padlet.com/greenej7/ofxim33ed0vf/wish/309861829 measure of angle 1 + measure of angle 2 > measure of angle 3]]> 2018-11-30 16:45:28 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309861829 caden_myer_605 https://padlet.com/greenej7/ofxim33ed0vf/wish/309862100 The sum of any 2 sides must be greater than the third and those correspond to the angles and side lengths where the longest side is the largest angle and the shortest side is the shortest angle.]]> 2018-11-30 16:45:56 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309862100 There area acute triangles which is c^2< a^2 + b^2 https://padlet.com/greenej7/ofxim33ed0vf/wish/309862151 Then right triangles c^2= a^2+ b^2
Then obtuse triangles c^2> a^2 + b^2]]> 2018-11-30 16:46:01 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309862151 Exterior Angles https://padlet.com/greenej7/ofxim33ed0vf/wish/309862221 Exterior Angles can help you find the inside angels.]]> 2018-11-30 16:46:06 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309862221 jonathan_brown_026 https://padlet.com/greenej7/ofxim33ed0vf/wish/309862323 Lonest side is opposite of largest angle and shortest side is opposite of shortest angle]]> 2018-11-30 16:46:19 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309862323 trevor_nate_420 https://padlet.com/greenej7/ofxim33ed0vf/wish/309862367 the two smaller sides must add up to be greater than the longest]]> 2018-11-30 16:46:23 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309862367 jonathan_brown_026 https://padlet.com/greenej7/ofxim33ed0vf/wish/309862786 Scalene has no congruent sides]]> 2018-11-30 16:47:03 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309862786 trevor_nate_420 https://padlet.com/greenej7/ofxim33ed0vf/wish/309863673 all angles add up to 180°]]> 2018-11-30 16:48:26 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309863673 Exterior angles https://padlet.com/greenej7/ofxim33ed0vf/wish/309863677 Exterior Angles are angles that are outside of the triangle. The angle also needs to share a side with the triangle.]]> 2018-11-30 16:48:26 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309863677 Longest side across to longest side, shortest side to shortest side https://padlet.com/greenej7/ofxim33ed0vf/wish/309863858 2018-11-30 16:48:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309863858 david_hader_351 https://padlet.com/greenej7/ofxim33ed0vf/wish/309863938 I learned the different types of triangles 
Like iscoles have two congruent sides and the biggest angle is looking always at the biggest side 
In the scalene no side are congruent 
And you can identify a right triangle with pytagorean  theorem


]]> 2018-11-30 16:48:54 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309863938 https://padlet.com/greenej7/ofxim33ed0vf/wish/309863995 The line across from the smallest angle is the shortest line 


]]> 2018-11-30 16:49:00 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309863995 jonathan_brown_026 https://padlet.com/greenej7/ofxim33ed0vf/wish/309864088 If you have an isosceles triangle then base angles are congruent then sides are congruent ]]> 2018-11-30 16:49:09 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309864088 https://padlet.com/greenej7/ofxim33ed0vf/wish/309864678 Equilateral- all equal sides
Isosceles- 2 equal sides 
Scalene- no equal sides 
A cute
Obtuse 
Right ]]> 2018-11-30 16:50:11 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309864678 caden_myer_605 https://padlet.com/greenej7/ofxim33ed0vf/wish/309864684 The sum of all interior angles equal 180°]]> 2018-11-30 16:50:12 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309864684 david_hader_351 https://padlet.com/greenej7/ofxim33ed0vf/wish/309864747 Triangle angles always add up to 180 and the add up of two and are the exterior angle of the angle you didn’t use ]]> 2018-11-30 16:50:19 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309864747 matthew_beard_472 https://padlet.com/greenej7/ofxim33ed0vf/wish/309865154 We proved that the exterior angle equals the sum of the adjacent 2 angles ]]> 2018-11-30 16:51:00 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309865154 https://padlet.com/greenej7/ofxim33ed0vf/wish/309865190 The sum of the measures of interior angles  add up to 180.

]]> 2018-11-30 16:51:04 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309865190 day 2 things we learned kathryn_gable_342 https://padlet.com/greenej7/ofxim33ed0vf/wish/309865225 Triangle sum theorem, which is that all the angles in a triangle add up to 180 degrees. Also we learned exterior angle theorem, which is how you can use an angle outside the triangle to find angles that are inside the triangle. The last thing was base angles theorem which basically means (for isosceles) that if 2 sides are congruent then those 2 angles are congruent. We did proofs]]> 2018-11-30 16:51:09 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/309865225 https://padlet.com/greenej7/ofxim33ed0vf/wish/310971700 All isosceles right triangles are similar]]> 2018-12-04 16:08:41 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310971700 lily_brenner_090 https://padlet.com/greenej7/ofxim33ed0vf/wish/310990445 If you have an isosceles triangle, that is a right anglethe measures of the angles will be 45,45, and 90]]> 2018-12-04 16:35:56 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310990445 https://padlet.com/greenej7/ofxim33ed0vf/wish/310990516 Side A times the square root of 2 is the hypotenuse on a 45 45 90 triangle]]> 2018-12-04 16:36:03 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310990516 https://padlet.com/greenej7/ofxim33ed0vf/wish/310991351 We learned that the hypotenuse is x times the square root of 2]]> 2018-12-04 16:37:13 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310991351 https://padlet.com/greenej7/ofxim33ed0vf/wish/310991482 It is created by a isosceles right triangle and has a ratio of 1:1: square root of 2]]> 2018-12-04 16:37:23 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310991482 https://padlet.com/greenej7/ofxim33ed0vf/wish/310992425 Two triangles that form a square the diagonal is 45 45 90]]> 2018-12-04 16:39:02 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310992425 trevor_nate_420 https://padlet.com/greenej7/ofxim33ed0vf/wish/310992746 hyopotinuse is x times square root of 2]]> 2018-12-04 16:39:35 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310992746 Formula for 45-45-90 Triangles https://padlet.com/greenej7/ofxim33ed0vf/wish/310992767 If the legs of a 45-45-90 triangle are length s, then the hypotenuse of the triangle is s times the square root of 2.]]> 2018-12-04 16:39:37 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310992767 david_hader_351 https://padlet.com/greenej7/ofxim33ed0vf/wish/310992857 If the triangle has this set of angles is going to be a isosceles right triangle meaning that it has two congruent sides and a right angle ]]> 2018-12-04 16:39:46 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310992857 https://padlet.com/greenej7/ofxim33ed0vf/wish/310993443 to get the hypotenuse of a isosceles right triangle you multiply a leg by the square root of 2]]> 2018-12-04 16:40:42 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310993443 caden_myer_605 https://padlet.com/greenej7/ofxim33ed0vf/wish/310994891 a square cut in half is an isosceles right and to get to the other parts of the triangles you either divide or multiply by the square root of 2]]> 2018-12-04 16:42:54 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/310994891 The ratios of the sides are one-square root three-two greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/313908695 2018-12-12 16:13:27 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313908695 Multiply the short leg by two to get the length of the hypotenuse greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/313909058 2018-12-12 16:14:03 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313909058 Multiply the short leg by square root 3 to get length of long leg greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/313909258 2018-12-12 16:14:25 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313909258 Divide the hypotenuse by 2 to get the short leg greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/313909507 2018-12-12 16:14:51 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313909507 Divide the long leg by the square root 3 to get the short leg greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/313909666 2018-12-12 16:15:05 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313909666 square root 3 times square root 2 = square root 6 greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/313909809 2018-12-12 16:15:17 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313909809 lily_brenner_090 https://padlet.com/greenej7/ofxim33ed0vf/wish/313920691 The AA Theorum, the SSS Theorum, and the SAS Theorum and how the triangle relates to them ]]> 2018-12-12 16:34:19 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313920691 https://padlet.com/greenej7/ofxim33ed0vf/wish/313923230 Similar triangles have the same angles and corresponding sides. You can prove a triangle is similar using two similar angles and three corresponding sides. You can also use one similar angle and two corresponding sides to prove they are similar.]]> 2018-12-12 16:38:19 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313923230 david_hader_351 https://padlet.com/greenej7/ofxim33ed0vf/wish/313923340 Similar triangles have the same angles and have a proportion so they are the same shape just in a different size]]> 2018-12-12 16:38:33 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313923340 https://padlet.com/greenej7/ofxim33ed0vf/wish/313923468 For a triangle to be similar it must have congruent angles and proportional sides

]]> 2018-12-12 16:38:46 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313923468 https://padlet.com/greenej7/ofxim33ed0vf/wish/313923960 similar triangles have same shape,same angle measurements,but different sizes]]> 2018-12-12 16:39:39 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313923960 https://padlet.com/greenej7/ofxim33ed0vf/wish/313924008 similar triangles have the same angle measures but different side lengths ]]> 2018-12-12 16:39:45 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/313924008 In similar figures, all corresponding angles are congruent and corresponding sides have equal ratios - they are proportional greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315551205 2018-12-18 15:15:30 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315551205 The midsegment of a triangle connects the midpoints of two sides greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315551329 2018-12-18 15:15:47 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315551329 The midsegment is parallel to the third side and half the length of the third side greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315551470 2018-12-18 15:16:04 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315551470 If three parallel lines intersect two transversals, then they divide the transversals proportionally greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315551722 2018-12-18 15:16:36 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315551722 If a ray bisects an angle of a triangle, then it divides the opposite side into two segments with lengths proportional to the lengths of the other two sides greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315552015 2018-12-18 15:17:10 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315552015 The geometric mean is in specific positions in a proportion greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315552068 2018-12-18 15:17:15 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315552068 In a right triangle, the altitude from the right angle to the hypotenuse divides the triangle into three similar triangles greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315552636 2018-12-18 15:18:27 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315552636 In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315552882 2018-12-18 15:18:59 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315552882 The length of the ALTITUDE is the geometric mean of the length of these two segments greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315553082 2018-12-18 15:19:22 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315553082 Each LEG is the geometric mean of the hypotenuse and the segment of the hypotenuse it's adjacent to greenej7 https://padlet.com/greenej7/ofxim33ed0vf/wish/315553226 2018-12-18 15:19:41 UTC https://padlet.com/greenej7/ofxim33ed0vf/wish/315553226