Question

in the figure shown, abcd ~ wxyz. select all pairs of congruent angles. a) ∠a≅∠w b) ∠b≅∠x c) ∠a≅∠z d) ∠c≅∠y e) ∠d≅∠z f) ∠c≅∠x

Explanation:

Step1: Recall similarity - angle property

For similar polygons, corresponding angles are congruent. Since \(ABCD\sim WXYZ\), the order of the vertices gives the corresponding - angle pairs.

Step2: Identify corresponding - angle pairs

\(\angle A\) corresponds to \(\angle W\), \(\angle B\) corresponds to \(\angle X\), \(\angle C\) corresponds to \(\angle Y\), and \(\angle D\) corresponds to \(\angle Z\).

Answer:

A. \(\angle A\cong\angle W\)
B. \(\angle B\cong\angle X\)
D. \(\angle C\cong\angle Y\)
E. \(\angle D\cong\angle Z\)