If two angles of one triangle are equal to the corresponding two angles of another triangle, their sides are ____________.

coincident

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parallel

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equal

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proportional

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Solution

The correct option is D proportional
When two angles of a triangle are equal to the corresponding two angles of another triangle, the triangles are similar and their sides are in the same ratio, i.e. their sides are proportional.
Example:

Here,
$∠ B = ∠ Q$
$∠ A = ∠ P$
$∠ C = ∠ R$ (When two angles of a triangle are equal, the third angle is also equal.)
So, $Δ A B C \sim Δ P Q R$
$\Rightarrow \frac{A B}{P Q} = \frac{B C}{Q R} = \frac{A C}{P R}$
Hence, the sides are in the same proportion.

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Similar questions

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(i) All squares are congruent.
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(ii) Angles opposite to equal sides of a triangle are equal.

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