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SAS Criteria for Congruency

Two triangles...

Question

Two triangles are said to be congruent by which of the following conditions?

A

One side of both the triangles is equal

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B

One side and one angle of both the triangles are equal

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C

Two sides and one included angle of both the triangles are equal

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D

Two sides and one non-included angle of both the triangles are equal

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Solution

The correct option is C Two sides and one included angle of both the triangles are equal
The congruency criteria of triangles are SSS, SAS, ASA, AAS and RHS.
Hence, if two sides and one included angle of both triangles are equal, then they are congruent to each other.

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Similar questions

Q. Which of the following statements is CORRECT?
Statement-1 : Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.
Statement-2 : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.

Q. If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent by ____ congruence condition.

Q. Assertion :Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other. Reason: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
Which of the following options hold?

Q. If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent by

Q. If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then, the two triangles are congruent by ___ congruence rule.

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