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Question
If triangles PQR and ABC are congruent, then the angle(s) of triangle PQR that corresponds to angle C is/are
If triangles PQR and ABC are congruent, then the angle(s) of triangle PQR that corresponds to angle C is/are
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Solution
The correct option is C ∠R
When ∆PQR ≅ ∆ABC, then sides of ∆PQR fall on corresponding equal sides of ∆ ABC and so is the case for the angles.
That is, PQ covers AB, QR covers BC and RP covers CA; ∠ P covers ∠A, ∠Q covers ∠B and ∠R covers ∠C.
Also, there is a one-one correspondence between the vertices. That is, P corresponds to A, Q to B, R to C and so on which is written as P ↔ A, Q ↔ B, R ↔ C.
Hence, for the given triangles, the corresponding angle for ∠C is ∠R.
When ∆PQR ≅ ∆ABC, then sides of ∆PQR fall on corresponding equal sides of ∆ ABC and so is the case for the angles.
That is, PQ covers AB, QR covers BC and RP covers CA; ∠ P covers ∠A, ∠Q covers ∠B and ∠R covers ∠C.
Also, there is a one-one correspondence between the vertices. That is, P corresponds to A, Q to B, R to C and so on which is written as P ↔ A, Q ↔ B, R ↔ C.
Hence, for the given triangles, the corresponding angle for ∠C is ∠R.
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