Question

in a parallelogram pqrs A and B are the midpoints of PQ and Rs are respectively show that the line segment a s and B Q trisect the diagonal PR

Answer 1

Answer:

Step-by-step explanation:

ANSWER

ABCD is ∥gm

AB∥CD

AE∥FC

⇒AB=CD

1/2 AB= 1/2CD

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

AF and EC bisect BD..