o. The sides AB and BC ofa square ABCD are produced to P and Qrespecti

1.	o. The sides AB and BC ofa square ABCD are produced to P and Qrespectively so that BP CQ. Prove that PD and AQ are equal andperpendicular to each other.
Answer» ABCD is a square and AP = DQ we will consider ΔDAQ = ΔABP = 90° DQ = AP this is given AD = AB ( this is because the sides of the square are equal) We will use the RHS congruency rule here ΔDAQ ≅ ΔABP ∠1 = ∠3 ∠1 + ∠4 = 90° ∠3 + ∠4 = 90° In ΔAOD, By ASP, ∠3 + ∠4 + ∠AOΔ = 180° 90° = ∠AOΔ = 180° ∠AOΔ = 90° So AP and DQ are perpendicular. thanks Bhai kuch aur questions bhi ha uska bhi answer de do

o. The sides AB and BC ofa square ABCD are produced to P and Qrespectively so that BP CQ. Prove that PD and AQ are equal andperpendicular to each other.

Answer»

ABCD is a square and AP = DQ

we will consider ΔDAQ = ΔABP = 90°

DQ = AP this is given

AD = AB ( this is because the sides of the square are equal)

We will use the RHS congruency rule here

ΔDAQ

≅

ΔABP

∠1 = ∠3

∠1 + ∠4 = 90°

∠3 + ∠4 = 90°

In ΔAOD,

By ASP,

∠3 + ∠4 + ∠AOΔ = 180°

90° = ∠AOΔ = 180°

∠AOΔ = 90°

So AP and DQ are perpendicular.

thanks

Bhai kuch aur questions bhi ha uska bhi answer de do