Question

3. ABCD is a quadrilateral in which AB || CD. P is the midpoint of BC. PQ is drawn parallel to CD
which meets AD at Q. Prove that PQ bisects AD. Also, prove that PQ bisects both the diagonals,
AC and BD.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

join AC, let PQ cut AC at E

In triangle ABC, PC = PA and EP parallel SB

Therefore EC = AE

, Now consider triangle ADC, AE = EC QE parallel DC, therefore AQ= QD

similarly you can show that QP will bisect other diagonal AD