Question

Are quadrilaterals ABCD and EFGH similar?

a) No, because their corresponding segments are not proportional.
b) Yes, because a translation of ((x + 3, y + 3)) and a dilation by the scale factor of 2 from point map quadrilateral ABCD onto EFGH.
c) No, because their corresponding angles are not congruent.
d) Yes, because a translation of ((x + 2, y + 2)) and a dilation by the scale factor of 2 from point map quadrilateral ABCD onto EFGH.

Answer 1

Quadrilaterals ABCD and EFGH are similar because a translation and dilation maps one onto the other.

Step-by-step explanation:

The answer to the question is b) Yes, because a translation of ((x + 3, y + 3)) and a dilation by a scale factor of 2 maps quadrilateral ABCD onto EFGH.

To determine if two quadrilaterals are similar, we need to check if their corresponding sides are proportional and if their corresponding angles are congruent. In this case, the translation and dilation given in option b) show that the corresponding sides of ABCD and EFGH are proportional and their corresponding angles are congruent.

Therefore, quadrilaterals ABCD and EFGH are similar.