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In the given ...

Question

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.

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Solution

$□$ 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, $□$ APCQ is also a parallelogram.

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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.

□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, □APCQ is also a parallelogram.

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.

$□$ 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, $□$ APCQ is also a parallelogram.