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ABCD is a parallelogram and AP and CQ are perpendiculars from

Question

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD . Show that
(i) $Δ A P B = \sim Δ C Q D$
(ii) $A P = C Q$

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Sebastian Discussed

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD . Show that
(i)

Δ A P B = \sim Δ C Q D

(ii)

A P = C Q

12 mins ago

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Text solutionVerified

Solution:

∠ A P B and ∠ C Q D

∠ A P B = 90^{0} = ∠ C Q D = 90^{0}

AB=CD

∴ ∠ C D Q = ∠ Q B A

∠ P A B = ∠ D C Q

(ASA)

∴ ∠ A P B = ∠ C Q D

∴ A P = C Q

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Question Text	ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD . Show that (i) $Δ A P B = \sim Δ C Q D$ (ii) $A P = C Q$
Answer Type	Text solution:1
Upvotes	150