Question

Which transformations will produce similar, but not congruent, figures?

Select each correct answer.

Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square A"B"C"D".

Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square A"B"C"D".

Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square A"B"C"D".

Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A"B"C"D".

Answer 1

The one with a dilation because a dilation is does not result in congruent figures....but rather similar figures

Answer 2

A, B and D

Explanation:

Any Geometric figure whether translated (slid), rotated or reflected (flipped) maintains its size since those geometric transformations just dislocate, so they remain congruents. But when a square is dilated, the following outcome is a similar one.

So, in A, B, D we have similar figures, not congruent. In A, B we have smaller squares and in D we have a bigger one.