Given:
AC = BC
∠3 = ∠4

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 that triangle ACM is congruent to triangle BCM. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

AC = BC gives you one pair of congruent sides.
<3 = <4 gives you a pair of congruent angles.

You already have SA.
Maybe you can add another pair of congruent angles to use ASA,
or maybe you can add another pair of congruent sides to use SAS.

Now we look at the drawing and see what we can add to what we have.
We don't know anything about angles A and B to use ASA.

We see side CM which is a side of both triangles.
A segment is congruent to itself. Since side CM is a side of both triangles, that is the other pair of congruent sides.

We can use SAS.

Answer: SAS

vk3267517 vk3267517 · Answer 2 · 2022-07-05T16:04:31+02:00

The possible answer is SAS or side angle side.

What is a congruent Theorem?

Two triangles are said to be congruent in the event that they have equal form and identical length. When triangles are congruent corresponding sides (sides in the identical roles) and corresponding angles (angles in identical function) are congruent (identical).

What is SAS SSS ASA AAS?

Unique rules of congruency are as follows. SSS (facet-aspect-facet) SAS (aspect-attitude-facet) ASA (perspective-facet-angle) AAS (angle-attitude-aspect)

Learn more about the Congruence Theorem here https://brainly.com/question/2102943

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