Respuesta :
Answer:
∠R=∠S and RQ=SQ
Step-by-step explanation:
Given
PQ is the perpendicular bisector of RS, prove ∠R = ∠S
1. PM is the perpendicular bisector of RS. | Given
2. If M is the midpoint of RS and SQ then RQ = SQ. | Reason: If a point is at a perpendicular bisector line of one segment, that point is equidistant from each endpoint of the line segment.
3. ∠R ≅ ∠S | Reason: Since PQ is the perpendicular bisector line then we can affirm PS≅ PR and RQ≅SQ as an equal pair of sized segments. That implies equal opposite angle measures of ∠R and ∠S.
4. RQ=SQ | Reason: If Q is the midpoint then RQ has the same size as SQ.
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