Question

polygon abcd - polygon efgh. which two statements are true about the similar figures above? a. ∠c≅∠f. b. bc¯ corresponds with fe¯. c. ∠a≅∠e. d. cd¯ corresponds with gh¯. e. ∠d≅∠g.

Explanation:

Step1: Recall similarity of polygons property

For similar polygons, corresponding angles are congruent and corresponding sides are in proportion.

Step2: Analyze angle - side correspondences

In similar polygons \(ABCD\) and \(EFGH\), \(\angle A\) corresponds to \(\angle E\), \(\angle B\) corresponds to \(\angle F\), \(\angle C\) corresponds to \(\angle G\), \(\angle D\) corresponds to \(\angle H\), \(AB\) corresponds to \(EF\), \(BC\) corresponds to \(FG\), \(CD\) corresponds to \(GH\), \(DA\) corresponds to \(HE\).

Answer:

C. \(\angle A\cong\angle E\), D. \(CD\) corresponds with \(GH\)