Question

in the figure AB= AC and AD is the perpendicular drawn from A to BC Prove that triangle ADB is congruent to triangle ADC

Answer 1

⇒ 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.

Answer 2

Answer:

Step-by-step explanation:

In △ADB and △ADC

AB=AC (given)

AD=AD (common side)

∠ADB=∠ADC=90° (As AD⊥BC)

△ADB≅△ADC by RHS property