Question

11. In A POR, D is the mid-point of OR
a.PM is
b. PD IS​

Answer 1

Answer:

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Step-by-step explanation:

QR is an isosceles triangle with PQ = PR and M is the midpoint of QR. How do you prove that the line PM bisects <QPR?

We have two triangles PQM and PRM.

PQ = PR [given]

QM = MR [M being the midpoint of QR]

PM is common to both.

Hence the two triangles PQM and PRM are congruent [By SSS postulate]

Therefore <QPM = <RPM [ angles opposite equal sides QM and MR], so PM bisects the <QPR.