isosceles triangle

Question

Isosceles triangle △ABC has congruent angles at B and C. If BC¯¯¯¯¯¯¯¯ is bisected at D and AD¯¯¯¯¯¯¯¯ is drawn, by the side, side, side triangle congruence postulate, _____.

(1 point)

1. △ADB≅△ADC
2. △ADB≅△DCA
3. △ABC≅△ADC
4. △ADB≅△ABC

Answer 1

ADB ~= ADC

AB = AC (isosceles triangle - sides opposite equal angles)

AD = AD (common to both triangles)

BD = CD (BC is bisected)