SOLUTION: Given: In the figure, RT = RS, PQ // RS Prove: PQ = PT figure: https://drive.google.com/drive/folders/1o1MhV2q1fgzGErAYwXi37Un70qBGSliq?usp=sharing two column proof

Algebra ->  Geometry-proofs -> SOLUTION: Given: In the figure, RT = RS, PQ // RS Prove: PQ = PT figure: https://drive.google.com/drive/folders/1o1MhV2q1fgzGErAYwXi37Un70qBGSliq?usp=sharing two column proof      Log On


   

Question 1202189: Given: In the figure, RT = RS, PQ // RS
Prove: PQ = PT
figure: https://drive.google.com/drive/folders/1o1MhV2q1fgzGErAYwXi37Un70qBGSliq?usp=sharing
two column proof
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
.
In the figure, RT = RS, PQ // RS

Prove: PQ = PT
RT=RS Given. So RTS is an isoscles triangle.
therefore angle T = angle S ( Isoscles triangle.)........................(1)
PQ // RS Given
angle TQP = angle TSR ( corresponding angles)...........................(2)
From (1) & (2) angle T = angle TQP ( Transitivity)
Therefore PQ = PT ( Isoscles triangle theorem)