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` Figure

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

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

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 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

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

In two triangles ABC and DEF, it is given that /_A=/_D,/_B=/_E and /_C=/_F Are the two triangles necessarily congruent?

(a,b),(c,d),(e,f) are the vertices of an equilateral triangle.Then the orthocenter of the triangle is

Show that the sum of the three altitudes of a triangle is less than the sum of three sides of the triangle. GIVEN : A A B C in which A D_|_B C ,B E_|_A C and C F_|_A Bdot PROVE : A D+B E+C F

In two triangles A B C\ a n d\ D E F , it is given that /_A=/_D ,\ /_B=/_E and /_C=/_Fdot Are the two triangles necessarily congruent?