Problem

(1) Figure RST has been rotated \( 90^{\circ} \) clockwise to form figure \( O P Q \). Which of the following statements is true? (A) \( m \angle R \cong m \angle Q \) (B) \( m \angle S \cong m \angle P \) (C) \( \overline{R S} \cong \overline{P Q} \) (D) \( \overline{S T} \cong \overline{O P} \)

Solution

Step 1 :Step 1: During rotation, angles remain congruent.

Step 2 :Step 2: R is rotated to Q during the \( 90^{\circ} \) clockwise rotation.

Step 3 :Step 3: \( m \angle R \cong m \angle Q \)

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Source: https://solvelyapp.com/problems/20861/

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