If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are ___ .

congruent

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not congruent

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not similar

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not equal

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Solution

The correct option is A congruent
If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are said to be congruent. This criterion is called as ASA criterion. ASA means Angle - Side - Angle. In ASA congruency, any 2 angles and included side should be equal.

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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.

Q. If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are ___ .

Q. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

If two sides and angle ‘not’ included by the two sides of a triangle are equal to corresponding two sides and an angle of the second triangle , then are the two triangles congruent?

Q. If two angles of a triangle and a side included by them are congruent with two corresponding angles and the side included by them of the other triangle, then the triangles are congruent with each other by _______

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