If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

True

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False

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Solution

The correct option is A True
Consider two given triangle $Δ P R Q$ and $Δ A B C$ as shown in the diagram.
Here, $∠ R = ∠ B; ∠ Q = ∠ C$ and the included side is also equal.
All these conditions satisfy the triangles to be congruent according to the A - S - A postulate.
Hence, the statement is true,

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If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

The correct option is A TrueConsider two given triangle ΔPRQ and ΔABC as shown in the diagram. Here, ∠R=∠B;∠Q=∠C and the included side is also equal. All these conditions satisfy the triangles to be congruent according to the A - S - A postulate. Hence, the statement is true,