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Criteria for Triangle Congruence

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SSS condition of congruence - definition

Congruency - If the sides of one triangle is equal to the sides of the other triangle, then the triangles are said to have  congruency.

SAS condition of congruence - definition

Congruency - Two triangles are congruent, if two sides and an included angle of one triangle is equal to the two sides and an included angle of the other triangle, then the triangles are said to have congruency.

ASA condition of congruence - definition

Congruency - Two triangles are congruent, if two angles and an included side of one triangle is equal to two angles and an included side of the other triangle, then the triangles are said to have congruency.

AAS condition of congruence - definition

If two angles and non included side of one triangle is equal to the corresponding parts of the triangle , then two triangles are congruent as per AAS condition of congruence.

RHS Condition of congruence - definition

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

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