SOLUTION: Triangle XYZ is dilated with a scale factor of 1/2 to create 🔺X'Y'Z' . The meaure of angle Y is 45° . What is angle Y' ? a.) 22.5° b.) 45° c.) 90° d.) 144°

Algebra ->  Triangles -> SOLUTION: Triangle XYZ is dilated with a scale factor of 1/2 to create 🔺X'Y'Z' . The meaure of angle Y is 45° . What is angle Y' ? a.) 22.5° b.) 45° c.) 90° d.) 144°      Log On


   

Question 994247: Triangle XYZ is dilated with a scale factor of 1/2 to create 🔺X'Y'Z' . The meaure of angle Y is 45° . What is angle Y' ?
a.) 22.5°
b.) 45°
c.) 90°
d.) 144°
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure. Triangle XYZ is similar to X'Y'Z'.
so, corresponding angles are congruent
if the measure of angle Y is 45°, than the measure of angle Y' is 45° too
answer is: b.) 45°