Question

∆PQR and ∆TQR are two isosceles triangles on the same base QR and the vertices P and

T are on the same side of QR. If PT is extended to intersect QR at M, show that

(I) ∆PQT ≅ ∆PRT

(ii) ∆PQM ≅ ∆PRM

(iii) PM bisects angle P

(iv) PM is the perpendicular bisector of QR.​

Answer 1

Answer:

∆PQR and ∆TQR are two isosceles triangles on the same base QR and the vertices P and

T are on the same side of QR. If PT is extended to intersect QR at M, show that

(I) ∆PQT ≅ ∆PRT

(ii) ∆PQM ≅ ∆PRM

(iii) PM bisects angle P

(iv) PM is the perpendicular bisector of QR.