Copy and complete the proof.
1. Given: $∠ P ≅ ∠ S; O$ is the midpoint of $\bar{P S}$ . Prove: is the midpoint of $\bar{R Q}$
Proof

Question

Accepted Answer

Statement	Reason
1. $∠ P ≅ ∠ S$	Given
2. $O$ is the midpoint of $\bar{P S}$	Given
3. $\bar{P O} ≅ \bar{S O}$	As is the midpoint of and midpoint is a point on a line segment that divides it into two congruent line segments
4. $∠ P O Q ≅ ∠ S O R$	Vertically Opposite angles
5. $Δ P O Q ≅ Δ S O R$	ASA congruence criteria
6. $\bar{Q O} ≅ \bar{R O}$	Corresponding parts of congruent triangles are equal
7. $O$ is the midpoint of $\bar{R Q}$	As and midpoint is a point on a line segment that divides it into two congruent line segments

Short Answer