Question

List all 6 Congruence statements for the following triangles.

Answer 1

The six congruence statements for triangles are Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), Angle-Side-Angle (ASA), and Hypotenuse-Leg (HL).

Step-by-step explanation:

When two triangles are congruent, it means that they have the same size and shape. The six congruence statements for triangles are:

1. Side-Side-Side (SSS): If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.
2. Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
3. Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
4. Angle-Angle-Side (AAS): 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, then the triangles are congruent.
5. Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
6. Hypotenuse-Leg (HL): If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

Answer 2

Put the segment mark above each set.

fe is congruent to Rs (do the opposite rs is congruent to fe)

Rs congruent to fe (opposite)

fd is congruent to rt (opposite) I think