The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which condition?

SAS

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SSS

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ASA

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RHS

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Solution

The correct option is B
SSS

When three sides of a triangle are equal to corresponding three sides of another triangle, the triangles are congruent by Side-Side-Side (SSS) congruence.

In the above figure,
AB = PQ
AC = PR
BC = QR
Since the sides of $△ A B C$ are equal to corresponding sides of $△ P Q R$ , $△ A B C ≅ △ P Q R$ by SSS criterion for congruency.

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Similar questions

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which condition?

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If under a given correspondence, the three sides of one triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent by which condition?

The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which criteria?

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