Two triangles are congruent if they have: exactly the same three sides and. exactly the same three angles.
...
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
...
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
- SSS (side, side, side) ...
- SAS (side, angle, side) ...
- ASA (angle, side, angle) ...
- AAS (angle, angle, side) ...
- HL (hypotenuse, leg)
What is a congruence method?
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
What is a true congruence statement?
Corresponding angles and sides of congruent triangles are congruent. When stating that two triangles are congruent, the corresponding parts must be written in the same order. For example, if we know that ΔABC and ΔLMN are congruent then we know that: Figure 4.10.
