AD is an altitude of an isosceles triangle ABC in which AB = AC. Show which rule proves triangle ABD congruent to triangle ACD and what it implies about BD and DC.

Question

Accepted Answer

RHS; BD = DC, so AD bisects BC. Right angles at D, AB = AC (hypotenuses), AD common: RHS gives triangle ABD ≅ triangle ACD, hence BD = DC by CPCT, so AD bisects BC.

AD is an altitude of an isosceles triangle ABC in which AB = AC.
Show which rule proves triangle ABD congruent to triangle ACD and what it implies about BD and DC.

Step-by-Step Solution

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More Class 9 SSS and RHS Congruence practice

AD is an altitude of an isosceles triangle ABC in which AB = AC.Show which rule proves triangle ABD congruent to triangle ACD and what it implies about BD and DC.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 SSS and RHS Congruence practice

AD is an altitude of an isosceles triangle ABC in which AB = AC.
Show which rule proves triangle ABD congruent to triangle ACD and what it implies about BD and DC.