If two sides and one angle of a triangle are equal to the two sides and an angle of another triangle, then which of the following statement is correct?

True

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False

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They can be congruent only if the equal angle is included between the two corresponding equal sides

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All are correct

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Solution

The correct options are
A
True

B
False

When two sides and one angle of a triangle is equal to the two sides and an angle of another triangle, we cannot specifically say whether both the triangles are congruent or not. When the equal angle is included between the two corresponding equal sides, they are congruent. In all other cases, they are not congruent.

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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.

If two sides and the included angle of a triangle are respectively equal to two sides and the included angle of another triangle, the two triangles are congruent. State True or False.

Q. If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent. Is the statement true?
If True enter 1 else if False enter 0.

"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent."

Is the statement true? Why?

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.

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