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TRIANGLES | SUFFICIENT CONDITION FOR CON...

TRIANGLES | SUFFICIENT CONDITION FOR CONGRUENCE OF TRIANGLE | Why we are looking for it ?, 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., Angles opposite to two equal sides of a triangle are equal., 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., 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., If two angles of a triangle are equal;then sides opposite to them are also equal., If the altitude from one vertex of a triangle bisects the opposite side; then the triangle is isosceles., In an Isoceless triangle altitude from the vertex bisects the base., If the bisector of the vertical angle of a triangle bisects the base of the triangle;then the triangle is isosceles.

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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.

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 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 respectively equal to the two angles and the included side of the other triangle.

The sides opposite to two equal angles of a triangle are :

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.

If two angles of a triangle are unequal then the side opposite to the smaller angle is :

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.

If two angles and the included side of one triangled are euqal to two angles and the included side of the other triangle, prove that those two triangles are congruent.