Question

A and B are respectively the points on sides PQ and PR of ∆PQR such that PQ=10.5 cm, PA = 4.5 cm, BR = 8 cm and PB = 6 cm, Is AB || QR ?​

Answer 1

Step-by-step explanation:

Given:-

A and B are respectively the point on side PQ and PR .

( let A & B are mid point of PQ and PR )

To Prove:-

AB||QR

Construction:-

draw line AC from point a to line QR are such that BR || AC .

Proof:-

according to ,

theorem 8.8. - a quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel .

as,

BR || AC, BR = AC

so , AB||QR by theorem 8.8.