Question

the asa congruency axiom states that two triangles are congruent if: two angles and the contained side of one triangle are equal to two angles and the contained angle of the other triangle. two sides and the excluded angle of one triangle are equal to two sides and the excluded angle of the other triangle. they are right triangles and the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle. two sides and the contained angle of one triangle are equal to two sides and the contained angle of the other triangle.

Explanation:

The ASA (Angle - Side - Angle) congruency axiom for triangles states that if two angles and the included (contained) side of one triangle are equal to two angles and the included (contained) side of another triangle, then the two triangles are congruent. Let's analyze each option:

• Option 1: Matches the definition of ASA (two angles and the contained side).
• Option 2: Describes the SAS (Side - Angle - Side) axiom (two sides and the included angle).
• Option 3: Describes the HL (Hypotenuse - Leg) theorem for right - angled triangles.
• Option 4: Also describes the SAS (Side - Angle - Side) axiom.

Answer:

A. two angles and the contained side of one triangle are equal to two angles and the contained angle of the other triangle.