# In the Given Figure, □ Abcd is a Parallelogram, P and Q Are Midpoints of Side Ab and Dc Respectively, Then Prove □ Apcq is a Parallelogram. - Geometry

Sum

square ABCD is a parallelogram, P and Q are midpoints of side AB and DC respectively, then prove square APCQ is a parallelogram.

#### Solution

square ABCD is a parallelogram,

AB ≅ CD and AB || CD

P and Q are the mid points of AB and CD respectively.

So, AP ≅ CQ and AP || CQ

Thus, square APCQ is also a parallelogram.

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#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board