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AAS Criteria for Congruency

Question 7 iv...

Question

Question 7 (iv)
In the below figure, altitudes AD and CE of $Δ A B C$ intersect each other at the point P. Show that

(iv) $Δ P D C \sim Δ B E C$

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Solution

(iv)
$I n Δ P D C a n d Δ B E C$ ,
$∠ P D C = ∠ B E C (E a c h 90^{\circ})$
$∠ P C D = ∠ B C E (C o m m o n a n g l e)$
Hence, by using AA similarity criterion,
$Δ P D C \sim Δ B E C$

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Similar questions

Q. Question 7 (iv)
In the below figure, altitudes AD and CE of

Δ A B C

intersect each other at the point P. Show that

Δ P D C \sim Δ B E C

Q. Question 7 (i)
In the figure, altitudes AD and CE of

Δ A B C

intersect each other at the point P. Show that

Δ A E P \sim Δ C D P

Question 7 (i)
In the figure, altitudes AD and CE of $Δ A B C$ intersect each other at the point P. Show that

(i) $Δ A E P \sim Δ C D P$

Q. In the figure, altitudes

A D

C E

△ A B C

intersect each other at the point

P

△ A E P \sim △ C D P

In the following figure, altitudes AD and CE of ΔABC intersect each other at the point P. Show that:

(i) ΔAEP ∼ ΔCDP

(ii) ΔABD ∼ ΔCBE

(iii) ΔAEP ∼ ΔADB

(v) ΔPDC ∼ ΔBEC

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AAS Criteria for Congruency

Standard IX Mathematics

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