Compare the perimeters of ABC and A'B'C'. Explain your reasoning.

Question

Triangles ABC was rotated 90° clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4. Triangles A'B'C' is this resulting image.

Answer 1

if yu make size=(1/4) start shape, rim-leng=(1/4) original

(rotate dont du nuthun)

Comments

ok thx ig

Answer 2

Ok so basically if you need the part one to this it is 

Q What parts of A' B' C' are congruent to the corresponding parts of the original triangle? Explain your reasoning.  

A  The parts that are congruent to the original triangle are the angle measurements. This is because a rotation is a rigid transformation so therefore it doesn't change anything about the shape itself. However a dilation is a non-rigid transformation so it changed the length of the sides. This means that the shape is not longer congruent because the side lengths are not the same, but the the angle measurements are. So the angle measures are still congruent in A' B' C' making it similar.

lol ok now the answer to this question

Q Compare the perimeters of ABC and A'B'C'. Explain your reasoning.        

A The perimeter of triangle A'B'C' will be 4 times larger than triangle ABC perimeter. This is because if triangle ABC was dialted by 4 to create triangle A'B'C' then each side length is 4 times as large.

Hope this helped :)