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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
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B
SSS property
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C
RHS property
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D
AAA property
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Solution

## The correct option is D AAA property⇒ In △ABC,AB=AC and AD is perpendicular bisector of BC. The property by which△ADB is not congruent to △ADC is AAAproperty⇒ It is given that AB and AC are equal so one side should be in congruent property.⇒ So, AAA property does not contain any side.∴ Correct answer is option D.

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