Question

3.
Given: RS bisects PQ at T, PQ bisects RS at T.
Prove: PTS = QTR.

Answer 1

Explanation:

RS Bisects PQ at T Given

PQ bisects RS at T Given

<RTQ = <PTS Vertically opposite Angles

PT = TQ Result of the given bisection

RT = TS Result of the given Bisection

ΔPTS ≡ ΔRTQ SAS. Note that the vertically opposite angles are between the two equal sets of lines.