Question

describe the congruence transformations for pqrs → wxyz. complete the statements below. ∠p≅∠__ (overline{pq}cong) ∠q≅∠ (overline{qr}cong) ∠r≅∠ (overline{rs}cong) ∠s≅∠ (overline{ps}cong) pqrs≅__

Explanation:

Step1: Identify corresponding parts in congruent figures

In congruent figures \(PQRS\) and \(WXYZ\), corresponding angles and sides are congruent.

Step2: Match angles

\(\angle P\) corresponds to \(\angle W\), \(\angle Q\) corresponds to \(\angle X\), \(\angle R\) corresponds to \(\angle Y\), \(\angle S\) corresponds to \(\angle Z\).

Step3: Match sides

\(\overline{PQ}\) corresponds to \(\overline{WX}\), \(\overline{QR}\) corresponds to \(\overline{XY}\), \(\overline{RS}\) corresponds to \(\overline{YZ}\), \(\overline{PS}\) corresponds to \(\overline{WZ}\).

Step4: State congruence of the figures

Since all corresponding parts are congruent, \(PQRS\cong WXYZ\).

Answer:

\(\angle P\cong\angle W\)
\(\overline{PQ}\cong\overline{WX}\)
\(\angle Q\cong\angle X\)
\(\overline{QR}\cong\overline{XY}\)
\(\angle R\cong\angle Y\)
\(\overline{RS}\cong\overline{YZ}\)
\(\angle S\cong\angle Z\)
\(\overline{PS}\cong\overline{WZ}\)
\(PQRS\cong WXYZ\)