Axiom 5: (SAS Axiom)
"Two triangles are congruent if and only if two sides and the included angles of one triangle are equal to the corresponding sides and the included angle of the other".
This axiom is called as sideangleside axiom of congruence of triangles.
Axiom 6: (ASA Axiom)
"Two triangles are congruent if and only if any two angles and the included side of one triangle are equal to the corresponding angles and the included side of the other triangle".
This axiom is called as anglesideangle of congruence of triangles.
Axiom 7: (SSS Axiom)
"Two triangles are congruent if and only if the three sides of one triangle are equal to the corresponding sides of the other triangle".
This axiom is called as sidesideside axiom of congruence of triangles.
Axiom 8: (RHS Axiom)
"Two right angled triangle are congruent if and only if the hypotenuse and a side of one triangle are equal to the hypotenuse and the corresponding side of the other.
Directions: Solve the following problems. Also write all the axioms of congruent triangles and at least five examples of your own.
