Question

Two similar triangles are shown.

Triangle XYZ was dilated, then ______, to create triangle QAG.

CHOICES:
•translated
•reflected
•dilated
•rotated

Answer 1

correct answer is reflect ,

Answer 2

Answer :- The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG.

Explanation :-

• A dilation is a rigid transformation which creates a similar image as the real shape but with different size.
• A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.

In the given picture we can see the size of ΔXYZ is reduced to ΔQAG byecause of dilation . Also ΔQAG looks like the mirror image of ΔXYZ (as it flipped horizontally).

Therefore if ΔXYZ is dilated then it must be reflected horizontally to create ΔQAG.