Question 147
If ΔPQR and ΔSQR are both isosceles triangle on a common base QR such that P and S lie on the same side of QR. Are ΔPSQ and ΔPSR congruent? Which condition do you use?
In ΔPSQ and ΔPSR, PQ = PR [given]
SQ = SR [given]
PS = PS [common side]
By SSS congruence criterion, ΔPSQ≅ΔPSR