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SAS Criteria for Congruency

Question

State the property by which $△$ ADB $≅$ $△$ ADC in the following figure.

SAS property
RHS property
SSS property
ASA property

A

SAS property

B

SSS property

C

RHS property

D

ASA property

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Solution

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$A B = A C$ (Given)
$∠ B A D = ∠ C A D$ (given)
$A D = A D$ (common)
$∴ △ A D B ≅ △ A D C$
By $S A S$ property.

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