Question

the question and the figure in apa photo​

Answer 1

Answer:

Given -

ABCD is a parallelogram

AP and CQ bisect angles A and C respectiely

Required to Prove -

AP||CQ

Proof: -

∠A = ∠C (opposite angles of a parallelogram are equal)

∠PAQ = ∠PCQ(half of equal angles are equal to each other)

We know,

CD || AB(opposite sides of a parallelogram are parallel to each other)

and hence, CP || AQ (since CP is part of CD and AQ is a part of AB which are already parallel to each other)

Now,

∠PAQ = ∠PCQ and CP || AQ

so, we can say APCQ is a parallelogram

Hence, AP||CQ(opposite sides of a parallelogram are parallel to each other.

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Answer 2

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