In the given figure, if AB = AC, then
$△ A B D ≅ △ A C D$ by criteria.

SAS

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RHS

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ASA

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SSS

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Solution

The correct option is B RHS

In $△ A B D and △ A C D$

$∠ A D B = ∠ A D C = 90^{\circ}$ .... (Given)

AB = AC ..... (Given)

DA = DA ..... (Common side)

So, by RHS criteria for congruency of triangles,
$△ A B D ≅ △ A C D$

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Similar questions

Q. In the given figure, If AB = AC, then

△ A B D ≅ △ A C D

by ____ criteria.

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Q. In the given figure, AB

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In the given figure, if $∠ B A D = ∠ C A D, ∠ A B D = ∠ A C D,$ then which of the following is false?

In the given figure, if $∠ B A D = ∠ C A D, ∠ A B D = ∠ A C D,$ then which of the following is false?
a) $△ A B D ≅ △ A C D$ by SAS postulate
b) $△ A B D ≅ △ A C D$ by AAS postulate
c)AB = AC
d)BD = CD

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In the given figure, if AB = AC, then △ABD≅△ACD by criteria.

The correct option is B RHS In △ABD and △ACD ∠ADB=∠ADC=90∘ .... (Given) AB = AC ..... (Given) DA = DA ..... (Common side) So, by RHS criteria for congruency of triangles, △ABD ≅ △ACD

In the given figure, if AB = AC, then
$△ A B D ≅ △ A C D$ by criteria.

The correct option is B RHS

In $△ A B D and △ A C D$

$∠ A D B = ∠ A D C = 90^{\circ}$ .... (Given)

AB = AC ..... (Given)

DA = DA ..... (Common side)

So, by RHS criteria for congruency of triangles,
$△ A B D ≅ △ A C D$