Question

in figure ABCD is a parallelogram AP and cq are perpendiculars from the vertices a and c on diagonal BD respectively if a p upon cq = k find the value of k​

Answer 1

Answer:

Since ABCD is a parallelogram. Therefore, DC∥AB.

Now DC∥AB and transversal BD intersects them at B and D.

Therefore, ∠ABD=∠BDC ∣ Alternate interior angles

in △APB and △CQD, we have

∠ABP=∠QDC ....(alternate interior angles of parallelogram ABCD and DC∥AB)

∠APB=∠CQD ....[each angle 90∘]

and AB=CD ∣ Opposite. sides of a || gm

Therefore, by AAS criterion of congruence

△APB≅△CQD

(ii) Since △APB≅△CQD

Therefore, AP=CQ ∣ Since corresponding parts of congruent triangles are equal

Answer 2

Answer:

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