Question

Are quadrilaterals ABCD and EFGH similar?

1) Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x+2, y+5) and a dilation by a scale factor of 3 from point A' map quadrilateral ABCD onto EFGH.
2) No, quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.
3) Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x+1, y+3) and a dilation by a scale factor of 3 from point A' map quadrilateral ABCD onto EFGH.

Answer 1

Quadrilaterals ABCD and EFGH are similar because a translation and a dilation are used to transform ABCD into EFGH, which preserves both proportional sides and congruent angles.

Step-by-step explanation:

Quadrilaterals ABCD and EFGH are similar because a translation of (x+2, y+5) and a dilation by a scale factor of 3 from point A' map quadrilateral ABCD onto EFGH. In order for two quadrilaterals to be similar, corresponding sides must be proportional and corresponding angles must be congruent.

In this case, a translation and a dilation are used to transform ABCD into EFGH, which preserves both proportional sides and congruent angles. Therefore, quadrilaterals ABCD and EFGH are similar.