Question

Which triangle congruence theorem could be used to show triangle 1 is congruent to triangle 2

Answer 1

the last one 1 and 11

Answer 2

The correct option is II.

Explanation:

According to SSS postulate two triangles are congruent if their all corresponding sides are congruent.

According to SAS postulate two triangles are congruent if their two corresponding sides and corresponding including angles are congruent.

According to ASA postulate two triangles are congruent if their two corresponding angles and corresponding including sides are congruent.

In triangle 1 and 2,

`CE=CB` (Given)

`AC=DC` (Given)

`\angle ACB=\angle DCE` (Vertically opposite angles)

By SAS postulate,

`\triangle 1\cong \triangle 2`

Therefore option II is correct.