Assertion (A): In ΔABC and ΔPQR, if ∠BAC = ∠QPR and ∠ABC = ∠PQR, then ΔABC ~ ΔPQR

ICSE Class 10 Mathematics PYQ · 2025 Improvement · Section A

1(ii)1 Mark · 2025 · Section A · 2025 Improvement

Assertion (A): In ΔABC and ΔPQR, if ∠BAC = ∠QPR and ∠ABC = ∠PQR, then ΔABC ~ ΔPQR

Statement 2: ΔABC ~ ΔPQR by SSS axiom

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In ΔABC and ΔPQR,

⇒ ∠BAC = ∠QPR [Given]

⇒ ∠ABC = ∠PQR [Given]

∴ ΔABC ~ ΔPQR (By A.A. axiom)

So, assertion (A) is true and reason (R) is false.

Hence, option 1 is the correct option.

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