Question

In isosceles triangle PQR, ray PY and ray RX are altitudes, and ray PX is congruent to ray RY. Prove that triangle PXR is congruent to triangle RYP.

Answer 1

In statement and reason form

Answer 2

Well we know that side PR = PR by reflexive property

Answer 3

PX is cong to PY is given
PR is cong to Pr by reflexive prop
Angle QPR is cong to Andle QRP because base angles of isosceles triangles are cong
Triangles are cong by SAS

Answer 4

So is this a 4 step proof