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 the property of similar polygons

For similar polygons, corresponding angles are congruent. Since \(ABCD\sim WXYZ\), the order of the letters gives the correspondence.

Step2: Match the angles

• \(A\) corresponds to \(W\), so \(\angle A\cong\angle W\) (Option A).
• \(B\) corresponds to \(X\), so \(\angle B\cong\angle X\) (Option B).
• \(C\) corresponds to \(Y\), so \(\angle C\cong\angle Y\) (Option D).
• \(D\) corresponds to \(Z\), so \(\angle D\cong\angle Z\) (Option E).

Answer:

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