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

SAS property

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SSS property

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RHS property

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ASA property

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Solution

The correct option is A SAS property
$A B = A C$ (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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In $Δ$ ABD, AB=AD and AC is perpendicular to BD. State the property by which $Δ$ ADB $≅$ $Δ$ ADC.

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