SOLUTION: RS bisects PQ at T. PQ bisects RS at T. prove: Triangle PTS congruent Triangle QTR

Question 173567This question is from textbook Integrated mathmatics
: RS bisects PQ at T. PQ bisects RS at T.
prove: Triangle PTS congruent Triangle QTR This question is from textbook Integrated mathmatics

Answer by nycsub_teacher(90) (Show Source): You can put this solution on YOUR website!
RS bisects PQ at T. PQ bisects RS at T.
prove: Triangle PTS congruent Triangle QTR
Statements..............................Reasons
(1) RS bisects PQ at T.................(1) Given
(2) PQ bisects RS at T.................(2) Given
(3) angle PST ≅ angle QRT........(3) supplements of congruent angles
(4) TS ≅ TR......................(4) Converse of Base Angles Theorem
(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality
(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle
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