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.

SAS CONGRUENCE CONDITION Two triangles are congruent if two sides and the included angle of the one are respectively equal to the two sides and the included angle of the other.

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.

THE SIDES-SIDES-SIDES (SSS) CONGRUENCE CONDITION Two triangles are congruent if the three sides of one triangle are respectively equal to the three sides of the other triangles.

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

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.

Prove that Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and one side of the other triangle.

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.

Right Hand Side Congruence Condition (RHS) Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and ne side of the other triangle.

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