Question

which criteria describes ways to prove two triangles are congruent? select all the correct answers. side - side - side angle - side - angle side - side - angle angle - angle side - angle - side side - side

Explanation:

• Side - side - side (SSS): If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
• Angle - side - angle (ASA): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
• Side - angle - side (SAS): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

• Side - side - angle (SSA): This is not a valid congruence criterion in general (except for the right - triangle case where it is called Hypotenuse - Leg).
• Angle - angle (AA): This only proves similarity, not congruence.
• Side - side: Two sides are not sufficient to prove congruence.

Answer:

side - side - side, angle - side - angle, side - angle - side