In the given figure- If AB - AC- thenABD - ACD by criteria-A- SSSB- ASAC- RHSD- SAS

The correct option is C RHS In ABD and ACD ∠ ADB =∠ ADC = 90^∘....(Given) AB = AC ..... nbsp; (Given) DA = DA ..... (Common side) So, by RHS criteria ...

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Standard VII

Mathematics

RHS Congruence Criterion

In the given ...

Question

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

ASA

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SSS

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RHS

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SAS

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Solution

The correct option is C 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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c)AB = AC
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In the given figure, If AB = AC, then △ABD≅△ACD by ____ criteria.

The correct option is C 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 C 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,
$△ A B D ≅ △ A C D$