State if the two triangles are congruent. If they are congruent, state the postulate or theorem used (SAS, ASA, SSS, AAS, HL)(2 points)
In order to determine if the two triangles are congruent, we need to compare their corresponding sides and angles. The given options for postulates or theorems that could be used include:
- SAS (Side-Angle-Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.
- ASA (Angle-Side-Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
- SSS (Side-Side-Side): If all three sides of one triangle are congruent to the corresponding three sides of another triangle, the triangles are congruent.
- AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the triangles are congruent.
- HL (Hypotenuse-Leg): If the hypotenuse and a corresponding leg of one right triangle are congruent to the hypotenuse and the corresponding leg of another right triangle, the triangles are congruent.
Without specific information or a visual representation of the triangles and their corresponding sides and angles, it is not possible to determine if the triangles are congruent or which postulate or theorem would apply.