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.

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