Mathematics
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.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
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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Statement 2: ΔAOC ≅ ΔIOC by ASA. And, so CI = CA.
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Statement 1: If two angles and a side of one triangle are equal to two angles and a side of some another triangle, the triangles are congruent.
Statement 2: The two triangle will be congruent, if corresponding sides of the two triangles are equal.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.