Question

in the figure shown, (abcd sim wxyz). select all pairs of congruent angles.

Explanation:

Step1: Recall Similar Polygons Property

When two polygons are similar (denoted by $\sim$), their corresponding angles are congruent. The order of the vertices in the similarity statement ($ABCD \sim WXYZ$) gives the correspondence of the vertices. So, vertex $A$ corresponds to $W$, $B$ to $X$, $C$ to $Y$, and $D$ to $Z$.

Step2: Identify Corresponding Angles

From the correspondence:

• $\angle A$ corresponds to $\angle W$, so $\angle A \cong \angle W$.
• $\angle B$ corresponds to $\angle X$, so $\angle B \cong \angle X$.
• $\angle C$ corresponds to $\angle Y$, so $\angle C \cong \angle Y$.
• $\angle D$ corresponds to $\angle Z$, so $\angle D \cong \angle Z$.

Answer:

$\angle A \cong \angle W$, $\angle B \cong \angle X$, $\angle C \cong \angle Y$, $\angle D \cong \angle Z$