Question

in a parallelogram pqrs A and B are midpoints of PQ and Rs respectively show that line segment PB and are transacted diagonals QS​

Answer 1

ABCD is ∥gm

AB∥CD

AE∥FC

⇒AB=CD

21 AB= 21CD

AE=EC

AECF is ∥gm

In △DQC

F is mid point of DC

FP∥CQ

By converse of mid point theorem P is mid point of DQ

⇒DP=PQ (1)

∴AF and EC bisect BD

In △APB

E is mid point of AB

EQ∥AP

By converse of MPT ( mid point theorem )

Q is mid point of PB

⇒PQ=QB (2)

By (1) and (2)

⇒PQ=QB=DP

SO, PB TRANSACTED QS