Question

ABCD is a parallelogram. AB is produced to P, such that AB=BP and PQ is drawn parallel to BC to meet AC produced at Q. Guven, AB=8 cm, AD=5 cm, AC =10 cm. Prove that point C is tge mid point of AQ, and find the perimeter of quadrilateral BCQP.

Answer 1

Since,
B is the mid point of AD
and BC is parallel to PQ
By converse of mid point theorem
BC=1/2 of PQ and C is mid point of AQ
BC=AD(opposite side of llgm)
=5cm
PQ=2BC
=2×5
=10CM
And C is also Mid point of AQ
SO, perimeter of BPQC
= 8+5+10+10
=33cm
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Answer 2

Answer:

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