Question

Given: MC bisects both ∠ACB and side AB. Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

Answer 1

Not possible

Explanation:

Given

See attachment for triangle

Required

Determine the congruence of triangles ACM and BCM

From the question, we understand that:

`\angle ACM= \angle BCM` and
`AM = BM`

Because MC bisects
`\angle ACB` and side AB

However, there are no further information that can prove the congruence of the resulting triangles

Hence, the solution is "not possible"