Question

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

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

Answer 1

The correct option is D AAA property

Given that, $AB=AC$

As $AD$ is perpendicular bisector to $BC$

So, $BD=CD$

Therefore, $△ADB$ and $△ADC$ has one common side, two equal sides and a right angle in common.

Hence, all SAS, SSS and RHS property staisfy.

But AAA property does not satisfy.