Question

Look at the figure how can you prove ABD and ACD are congruent?

Answer 1

Answer: By using SAS postulate of congruence , we can prove  $\triangle{ABD}$ and  $\triangle{ACD}$ are congruent.

Step-by-step explanation:

In the given figure we have two triangles $\triangle{ABD}$ and  $\triangle{ACD}$ having one common side AD.

Also,  $\angle{BAD}\cong\angle{CAD}$   [given]

$\overline{AB}\cong\overline{AC}$     [given]

$\overline{AD}\cong\overline{AD}$   [common]

Hence, by SAS postulate of congruence , we have

$\triangle{ABD}\cong\triangle{ACD}$

• SAS postulate of congruence says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of other triangle then the two triangles are said to be congruent.

Answer 2

Check the picture below