Question

State if the two triangles are congruent if they are state the method AAS ASA SSS SAS or HL

Answer 1

To determine if two triangles are congruent, we need to compare their corresponding sides and angles using methods such as AAS, ASA, SSS, SAS, or HL.

Step-by-step explanation:

To determine if two triangles are congruent, we need to compare their corresponding sides and angles. There are several methods we can use to determine congruence:

• AAS (Angle-Angle-Side): If two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.
• ASA (Angle-Side-Angle): If two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.
• SSS (Side-Side-Side): If all three sides of one triangle are equal to the corresponding sides of another triangle, the triangles are congruent.
• SAS (Side-Angle-Side): 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.
• HL (Hypotenuse-Leg): If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.