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 TROVE : `A B C~=D E F`

Angle Angle Side (AAS) Congruence-If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle; the two ttriangles are congruent.

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

''If two angles and a side of one triangle are equal to two angles and a side of another triangle then the two triangle must be congruent.'' Is the statement true ? Why?

Two triangles ABC and DEF such that /_A=/_D,/_B=/_E and /_C=/_F. Then

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

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.

In Delta ABC and Delta DEF , it is given that angle B= angle E angle F= angle C and AB=- 3DE , then the two triangles are

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.

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 ?