Question

Write a paragraph proof.
Given: Vertical isosceles triangles. RS bisects QT.
prove: ΔQRP≈ΔTSP

Answer 1

Again, it's like a mirror, if you draw a straight line through the tips of the first triangle and the second one, it's a mirror.

Answer 2

RS Bisects QT means, it cuts QT in two equal halves, so QP would be equal to PT, as it is an isosceles triangle, one other side would be equal as well, so RP is equal to PS, Now, by ASA, we conclude the both mentioned triangles in the figure are congruent.

Hope this helps!