Complete the following proof related to the figure below.



Given:
is the perpendicular bisector of

Prove:
∠R = ∠S



Which of the following could be statements in line 2 in the proof? Select all that apply.

∠1=∠2

∠3=∠4

∠R=∠S

RQ=SQ

Respuesta :

The answer to your quest is RQ=SQ and < R=<S


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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