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AAA Similarity

If all three ...

Question

If all three angles in one triangle are the same as the corresponding angles in another triangle, then the triangles are similar by which test ?

A

SSS

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B

SAS

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C

AAA

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D

AAS

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Solution

The correct option is C AAA
It all the angles in triangle are same as the corresponding angle in the other triangle , then the triangles are similar by $A A A$ similarity criteria.
So option $C$ is correct.

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Similar questions

In similar triangles, all angles are proportional with the same proportion as corresponding sides.

Q. If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar by which similarity

Q. If all three angles of a triangle are equal to all three angles in another triangle, then the triangles are congruent using AAA congruency.

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 in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.

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