Question

# Match the column.1. In ΔABC and ΔPQR,ABPQ=ACPR,∠A=∠P(a) AA similarity criterion 2. In ΔABC and ΔPQR,∠A=∠P,∠B=∠Q(b) SAS similarity criterion 3. In ΔABC and ΔPQR,ABPQ=ACPR=BCQR∠A=∠P(c) SSS similarity criterion 4. In ΔACB,DE||BC⇒ADBD=AECE(d) BPT

A
1a,2b,3c,4d
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B
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C
1b,2a,3c,4d
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D
1c,2b,3d,4a
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Solution

## The correct option is C 1→b,2→a,3→c,4→dIn △ABC and △PQROption A:If ∠A=∠P ....GivenAnd, ABPQ=ACPR ...Given△ABC∼△PQR ...SAS test of similarityOption B:If ∠A=∠P ....GivenAnd ∠B=∠Q ....Given△ABC∼△PQR ...AA test of similarityOption C:If ∠A=∠P ....GivenAnd ABPQ=ACPR=BCQR ....Given△ABC∼△PQR ...SS S test of similarityOption D:In △ACB,DE∥BCADBD=AECE ....GivenThis is known as basic proportionality theorem.

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