Question

11/14 - triangle congruence schoology assignment
the triangles are congruent by sss
the triangles are congruent by hl
the two triangles are not necessarily congruent. there is not enough information.
the triangles are congruent by aas
the triangles are congruent by asa
the triangles are congruent by ssa
the triangles are congruent by sas

Explanation:

Step1: Recall triangle congruence criteria

SSS (Side - Side - Side): All three sides of one triangle equal to three sides of another. HL (Hypotenuse - Leg, for right - triangles). AAS (Angle - Angle - Side). ASA (Angle - Side - Angle). SAS (Side - Angle - Side). SSA is not a valid congruence criterion in general.

Step2: Analyze given information

We are only given that two sides of each triangle are marked as equal. There is no information about angles or the third side.

Answer:

The two triangles are not necessarily congruent. There is not enough information.