What is Congruence?
Two triangles are congruent if they have exactly the same shape and size. When △ABC ≅ △PQR:
• CPCTC Rule: Corresponding Parts of Congruent Triangles are Congruent.
5 Congruence Rules
1. SAS (Side-Angle-Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another.
2. ASA (Angle-Side-Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another.
3. AAS (Angle-Angle-Side): Two angles and a non-included side are equal.
4. SSS (Side-Side-Side): Three sides of one triangle are equal to three sides of another triangle.
5. RHS (Right angle-Hypotenuse-Side): Hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle.