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Similar Triangles

If two corres...

Question

If two corresponding sides and the angle between them of a triangle are equal to another triangle. Then the angles are :

A

congruent but not similar

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B

similar but not congruent

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C

neither congruent nor similar

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D

congruent and similar.

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Solution

The correct option is C neither congruent nor similar
If two corresponding sides and the angle between them of a triangle are equal to those of another triangle, then the triangles are congruent. The angles can neither be congruent nor similar..

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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.

Δ A B C a n d Δ D E F, ∠ B = ∠ E, ∠ F = ∠ C

, and AB = 3DE. Then, the two triangles are

(A) Congruent but not similar
(B) Similar but not congruent
(C) Neither congruent not similar
(D) Congruent as well as similar

Q. Question 7
In

Δ A B C a n d Δ D E F, ∠ B = ∠ E, ∠ F = ∠ C

and AB = 3DE. Then the two triangles are

(A) Congruent but not similar
(B) Similar but not congruent
(C) Neither congruent not similar
(D) Congruent as well as similar

Q. In ∆ABC and ∆DEF, it is given that ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are
(a) congruent but not similar
(b) similar but not congruent
(c) neither congruent nor similar
(d) similar as well as congruent

Q. If two triangles have their corresponding angles equal, are they always congruent? If not, draw two triangles which are not congruent but which have their corresponding angles equal.

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