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.

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.

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

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.

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 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 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

ASA CONGRUENCE CONDITION Two triangles are congruent if two angles and the included side of the one are respectively equal to the two angles and the included sides of the other.

Consider the following statements : Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle. 2. Three sides of one triangle are equal to the corresponding three sides of the other triangle, 3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle. 4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. Which of the above statements are correct ?

Assertion : In a quadrilateral ACBD, AC = AD and AB bisects angleA (see figure) then DeltaACB ~= DeltaADB by SAS congruence criteria. Reason : Two triangles are congruent if two sides and the included angle of one triangle is equal to the corresponding two sides and included angle of the other.

Side Side Side(SSS) Congruence : Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle.