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SAS Criteria for Congruency of Triangles

In two triang...

Question

In two triangles, if two corresponding sides and an angle are equal, then the triangles are necessarily congruent. True/False?

A

True

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B

False

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Solution

The correct option is B
False

By SAS criterion for congruence, If any two corresponding sides and their included angle are the same in both triangles, then the triangles are congruent.

In the given statement, it is not given that the angle is included.

Therefore, the above statement is false.

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Similar questions

State true or false: If all the corresponding angles of two triangles are the same, then the two triangles are necessarily congruent.

In two triangles; if a pair of corresponding angles and a side are equal, then the triangles are necessarily congruent.

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.

In two triangles; if a pair of corresponding angles and a ___ are equal, then the triangles are necessarily congruent.

Q. If two sides of a right angled triangle is congruent to the corresponding sides of another right angle triangle then both the Triangles are congruent : true or false

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