Question

define all the criteria for congruence of triangles

Answer 1

Answer:

1) SSS (Side Side Side) Congruence Criteria (Condition):

Two triangles are congruent, if three sides of one triangle are equal to the corresponding three sides of the other triangle.

2) ASA (Angle Side Angle) Congruence Criteria (Condition):

Two triangles are congruent, if two angles and the included side of one is equal to the corresponding angles and side of the other.

3) AAS (Angle Angle Side)

4) SAS (Side Angle Side) Congruence Criteria (Condition):

When two sides and the included angle of one triangle is equal to the corresponding sides and the included angle of another triangle, the two triangles are congruent. This, condition of congruence is known as side-angle-side congruence. In short we write SAS condition.

5) RHS (Right Hypotenuse Side) Congruence Criteria (Condition):

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

Answer 2

Answer:

The full form of CPCT is Corresponding parts of Congruent triangles. Congruence can be predicted without actually measuring the sides and angles of a triangle. Different rules of congruency are as follows.

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side)