Congruence of Triangles

Two figures are called congruent figures, when they have same shape and same size. The relation between two figures being congruent is called congruence. If two angles have the same measure, they are congruent. Also, if two angles are congruent, their measures are same. Two triangles are congruent if they are exact copies of each other and when superposed, they cover each other exactly. There are four criteria for congruency of triangles: (i) SSS congruency criteria (ii) SAS congruency criteria (iii) ASA or AAS congruency criteria (iv) RHS congruency criteria Two triangles are congruent if all the six parts of one triangle are respectively equal to the corresponding six parts of another triangle. Two triangles are congruent to each other if all three sides of one triangle are respectively equal to the corresponding three sides of another triangle. Two triangles are congruent to each other if two sides and the included angle of one triangle are respectively equal to the corresponding sides and the included angle of another triangle. Two triangles are congruent to each other if two angles and the included side of one triangle are respectively equal to the corresponding two angles and the included side of another triangle. Two right triangles are congruent to each other if the hypotenuse and one side of one triangle are respectively equal to the corresponding hypotenuse and one side of another triangle.

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