Question 1202189
*[illustration Isos_.png].

 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)