Question

17. In the quadrilateral ABCD, AD || BC. P and
Q are mid-points of AB and AC. Prove that
(i) R is the mid-point of DC.
(ii) AD + BC = 2PR
​

Answer 1

Step-by-step explanation:

By Mid-point Theorem,

PQ = 1 BC ..............(1)

2

QR = 1 AD ...............(2)

2

AD + BC = 2(PQ + QR)

= 2PR

HENCE PROVED!!!

In ΔABC, By Mid-point Theorem,

PQ || BC = 1 BC

2

PQR || BC

PQR || AD

QR || AD & Q is Mid-point of AC

In ΔADC, R is mid-point of CD.

HENCE PROVED!!!