Question

Select all TRUE statements : A - Dilation always increase the length of shapes or line segments. B- Dilations of an angle are congruent to the original angle. C- Dilations increase the measures of angles. D- Dilations of a triangle are congruent to the original triangle. E-Dilations of a triangle are similar to the original triangle

Answer 1

Hi!

A is FALSE - If you shrink a shape, it is not increased a shape, yet it is still dilating.

B is TRUE - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.

C is FALSE - Explained above.

D is FALSE - Two triangles that are congruent are exactly the same, therefore if you dilate a triangle, you are changing the size so they are not the same.

E is TRUE - Similar shapes are always the same except for their size. When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.