Question

What are congruent triangles?

Answer 1

Triangles are congruent when all corresponding sides and interior angles are equal.
Triangles are congruent if:

1. SSS (side side side)
All three corresponding sides are equal in length.

2. SAS (side angle side)
A pair of corresponding sides and the included angle are equal.

3. ASA (angle side angle)
A pair of corresponding angles and the included side are equal.

4. AAS (angle angle side)
A pair of corresponding angles and a non-included side are equal.

5. RHS (hypotenuse leg of a right triangle)
Two right triangles are congruent if the hypotenuse and one leg are equal