In triangle ABC, AB = AC. D is the midpoint of BC. If you join AD, which rule lets you prove triangle ABD congruent to triangle ACD, and what follows about angle ADB?

Question

Accepted Answer

SSS; angle ADB = 90°. AB=AC, BD=DC, AD common gives SSS. Then angle ADB = angle ADC (CPCT) and they form a linear pair summing to 180, so each is 90°.

In triangle ABC, AB = AC. D is the midpoint of BC.
If you join AD, which rule lets you prove triangle ABD congruent to triangle ACD, and what follows about angle ADB?

Step-by-Step Solution

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More Class 9 SSS and RHS Congruence practice

In triangle ABC, AB = AC. D is the midpoint of BC.If you join AD, which rule lets you prove triangle ABD congruent to triangle ACD, and what follows about angle ADB?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 SSS and RHS Congruence practice

In triangle ABC, AB = AC. D is the midpoint of BC.
If you join AD, which rule lets you prove triangle ABD congruent to triangle ACD, and what follows about angle ADB?