If two angles of one triangle are equal to the corresponding two angles of another triangle then their sides are

Proportional

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Equal

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Parallel

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Coincident

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A Proportional
When two angles of triangle are equal to the corresponding two angles of another triangle then the triangles are similar to each other and their sides are in the same ratio or can say that their sides are proportional.
For example-

Here $∠ B = ∠ Q$
And, $∠ A = ∠ P$

So, $△ A B C \sim △ P Q R$ (By AA rule)

so its sides $\frac{A B}{P Q} = \frac{B C}{Q R} = \frac{A C}{P R}$
Here sides are in same proportion.

Hence, option $(a)$ correct.

Suggest Corrections

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

If two angles and the included side of a triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent by which condition?

Q. For two triangles, if sides of one triangle are proportional to the sides of other triangle, then their corresponding angles are equal and hence the two triangles are similar. This is called ___ similarity.

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.

Join BYJU'S Learning Program