Q. 35.0( 1 Vote )

# In □ABCD, M and N are the mid-points of and . If ∥ prove that ∥

Given: In ABCD, M and N are the mid points ofand and

To Prove:

Construction:- extend towards D and towards C to intersect each other at P ( AB > CD)

Proof:- M is the mid-point of

DA = 2 DM …………1

Similarly, N is the mid-point of

CB = 2 CN…………..eq(2)

In Δ PAB ,

( If a line to one side of a Δ intersects the other two sides of the Δ in distinct points, the segments of the other sides of the Δ in the same half plane of the line are proportional to the corresponding sides of the Δ)

(from 1 and 2)

In Δ PMN, P-D-M , P-C-N and

And

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