Congruency of triangles quick check

Answer 1

To quickly check the congruence of triangles, you can use the following criteria:

1. Side-Side-Side (SSS) Congruence: If all three sides of one triangle are equal to the corresponding three sides of another triangle, the triangles are congruent.

2. Side-Angle-Side (SAS) Congruence: If two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is equal, the triangles are congruent.

3. Angle-Side-Angle (ASA) Congruence: If two angles and the side between them in one triangle are equal to the corresponding angles and side in another triangle, the triangles are congruent.

4. Angle-Angle-Side (AAS) Congruence: If two angles of one triangle and a non-included side are equal to the corresponding parts of another triangle, the triangles are congruent.

5. Hypotenuse-Leg (HL) Congruence (specific to right triangles): 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.

Quick Check Steps:

1. Identify the given parts (sides and/or angles) of the triangles you are comparing.
2. Apply one of the congruence criteria listed above.
3. If any criterion is satisfied, the triangles are congruent. If none match, they are not congruent.

Feel free to ask if you need a more detailed explanation or examples!