In two triangles, if two corresponding sides and the included angle are equal, then the triangles are congruent.

True

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False

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Solution

The correct option is A
True

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle included between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

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Similar questions

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

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

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. 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 the side included between the angles are equal, then the triangles are congruent by ___.

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In two triangles, if two corresponding sides and the included angle are equal, then the triangles are congruent.

The correct option is A True If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle included between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

The correct option is A
True

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle included between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.