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Statement 1: ∠A = ∠Q and ∠B = ∠R, then to get the triangles, congruent, we must have AB = PR.

Statement 1 - ∠A = ∠Q and ∠B = ∠R, then to get the triangles, congruent, we must have AB = PR. Statement 2 - The given Δs will be congruent, if AB = QR. Triangles, Concise Mathematics Solutions ICSE Class 9.

Statement 2: The given Δs will be congruent, if AB = QR.

  1. Both the statements are true.

  2. Both the statements are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Triangles

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Answer

Given in triangles ABC and PQR,

⇒ ∠A = ∠Q,

⇒ ∠B = ∠R,

To get △ABC ≅ △QRP, there should be one more condition.

In order to get triangles congruent any two sides can be equal not necessarily AB = PR, it can also be AB = QR.

∴ Statement 1 is false, and statement 2 is true.

Hence, option 4 is the correct option.

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