Question

in the graphic below, $\triangle mat \cong \triangle mht$ by:
image of a triangle with vertices m, a, t and another triangle with vertices m, h, t, sharing side mt. ma and mh are marked as equal, angle at m is marked as equal, and mt is common.
\bigcirc hl.
\bigcirc ssa.
\bigcirc aaa.
\bigcirc sss.
\bigcirc sas.

Explanation:

Step1: Identify the corresponding parts

From the figure, we have \(MA = MH\) (marked as equal), \(\angle AMT=\angle HMT\) (marked as equal), and \(MT = MT\) (common side).

Step2: Recall the congruence criteria

The Side - Angle - Side (SAS) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Answer:

SAS