Question

which rule explains why these triangles are congruent? sas sss aas asa these triangles cannot be proven congruent

Explanation:

Step1: Recall congruence rules

SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle. SSS (Side - Side - Side): All three sides of one triangle are equal to all three sides of another triangle. AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle. ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Step2: Analyze given triangles

We see two pairs of angles are marked as equal in the two triangles, but no side lengths are given. Since we have two pairs of angles and no information about the sides being equal in a way that satisfies SAS, SSS or ASA, and we have two angles and a non - included side situation (as we don't have information about the sides between the angles), the AAS (Angle - Angle - Side) congruence rule would apply if we knew the non - included sides were equal. But since no side information is given, these triangles cannot be proven congruent.

Answer:

These triangles cannot be proven congruent