Question

In $△$ABC, AB = AC and AD is perpendicular bisector of BC. The property by which $△$ADB is not congruent to $△$ADC is ______.

• A. SAS property
• B. SSS property
• C. RHS property
• D. AAA property

Answer 1

The correct option is D AAA property

$\Rightarrow$ In $△ABC,AB=AC$ and $AD$ is perpendicular bisector of $BC$. The property by which$△ADB$ is not congruent to $△ADC$ is $AAAproperty$

$\Rightarrow$ It is given that $AB$ and $AC$ are equal so one side should be in congruent property.

$\Rightarrow$ So, $AAA$ property does not contain any side.

$\therefore$ Correct answer is option $D$.