ABCD is a parallelogram. P and Q are the midpoints of AB and DC. If P and Q are joined, prove that APQD is a parallelogram
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Answer:
Since AB∥CD [ Opposite sides of ∥
gm
are parallel ]
⇒PB∥QC [ Parts of parallel lines are parallel ]
Also, AB=CD [ Opposite sides of ∥
gm
are equal ]
⇒
2
1
AB=
2
1
CD
⇒PB=QC [ P is the mid point of Ab and Q is the mid point of DC ]
Since PB∥QC and PB=QC
One pair of opposite sides of PBCQ are equal and parallel.
∴PBCQ is a ∥
gm
.
Hence, the answer is solved.
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