Question

Which transformation can not be used to prove that triangle ABC is congruent to triangle DEF

Answer 1

Dilation
When it says the triangles are congruent, it means that both triangles have the same shape and size while every other choices will leave it the same, when you dilate something you’re changing its size

Answer 2

Option D.

Explanation:

(A) Rotation = In rotation size and shape of the ΔABC will remain same.

In other words sides and angles of ΔABC and ΔA'B'C' will remain same in rotation. So both the triangles will be congruent.

(B) Reflection = In reflection ΔA'B'C' will be the mirror image of ΔABC so both the triangles will be congruent.

(C) Translation = If ΔABC is moved about x-axis or y-axis only position of image ΔA'B'C'. So both the triangles will be

congruent.

(D) Dilation = In dilation ΔABC will be dilated with a scale factor to form ΔA'B'C' so both the triangles will be similar but not congruent.

Option D is the answer