Ex 6.2, 6 - In fig, A, B and C are points on OP, OQ and OR - Theorem 6.2

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Ex 6.2, 6 In figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR. Given: AB II PQ and AC II PR To prove: BC II QR Proof: From (1) & (2) 𝑂𝐶/𝐶𝑅=𝑂𝐵/𝑂𝑄 Thus in Δ OQR, 𝑂𝐶/𝐶𝑅=𝑂𝐵/𝑂𝑄 i.e. Line BC divides the triangle Δ OQR in the same ratio ∴ BC II QR Hence proved

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