Question

In the adjacent figure ABCD is a parallelogram P and Q are the mid points of sides AB and DC respectively . Show that PBCQ is also a parallelogram

Answer 1

From the diagram attached with this answer,

ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively .

Since ABCD is a parallelogram,AB ║ CD and AB = CD

P and Q are the mid points of AB and CD

so, QC = 1/CD =1/AB = PB

ie. QC = PB

Also PB ║ QC and QC = PB then we get, PQ = BC

Therefore PBCQ is also a parallelogram.

Answer 2

Step-by-step explanation:

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