Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle. GIVEN : Two triangles `A B C` and `D E F` such that `A B=D E ,A C=D F` and `/_A=/_D` PROVE : ` A B C~= D E F` Figure

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.GIVEN: Two triangles ABC and DEF such that AB=DE,AC=DF and /_A=/_D PROVE : ABC~=DEF Figure

Side Angle Side (SAS) Congruence - Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.

Two triangles are congruent if two angles and the included side of one triangle are respectively equal to the two angles and the included side of the other triangle.

Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. GIVE : Two s A B C and D E F such that /_B=/_E ,/_C=/_F and B C=E F TO PROVE : A B C~=D E F

Two triangles are congruent, if two. Angles and the included side of one triangle are equal to two angles and the included side of the other triangle.

Two triangles are congruent if include two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. GIVE : Two triangle A B C and D E F such that /_B=/_E ,/_C=/_F and B C=E F TO PROVE : triangle A B C~=triangle D E F

If .... And the included angle of one triangle are equal to two sides and the included angle of the other triangle then two triangles are congruent.

By ASA Congruence Criterion, two angls and included side of one triangle are equal to the corresponding angles and included side of other triangles.

Angle-Side-Angle (ASA) Congruence-Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent. GIVEN : Two s A B C and D E F such that /_A=/_D ,/_B=/_E ,B C=E F TO PROVE : A B C~=D E F Figure