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In the figure given below, the two triangles are congruent. The corresponding parts are marked. Then the triangle ∆RAT is congruent to which of the following triangles?

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∆NWO

∆WON

∆WNO

∆RAT

answer is B.

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Detailed Solution

It is given that the following triangles are congruent.
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AAA (Angle-Angle-Angle): Two triangles are congruent under the AAA category if all three angles of the first triangle are correspondingly equal to the second triangle.
From

Δ R A T and Δ W O N,

∠ T R A = ∠ O W N ∠ T A R = ∠ N O W ∠ A T R = ∠ O N W

Then, by the definition of AAA congruence property,

Δ R A T ≅ Δ W O N

Therefore,

Δ R A T ≅ Δ W O N

by AAA congruence property.
Hence, option (2) is correct.

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