Question

What are the different criterions under which the triangles are congruent?

Answer 1

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