Question

Look at the figure. How can you prove the triangles are congruent?

Answer 1

SSS - The two triangles share all 3 sides, proving they are congruent.

Explanation:

Two sides of each triangle are marked in the diagram as equal. The third side,
`\overline{BD}` is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.

Answer 2

Explanation:

In triangle ABD In triangle CBD

AB. = BC. [Given]

AD. = CD. [Given]

BD. = BD. [Common side]

Therefore,

According to SSS Congruence condition

Triangle ABD is congruent to Triangle CBD