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In the adjoining given below, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. show that BC || QR.
In the adjoining given below, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. show that BC || QR.
CBSE | Class 10 | maths | Maths | ML Aggarwal | Similarity
In the adjoining given below, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. show that BC || QR.

Solution:-

Consider the ∆POQ

AB || PQ … [given]

So, OA/AP = OB/BQ … [equation (i)]

Then, consider the ∆OPR

AC || PR

OA/AP = OC/CR … [equation (ii)]

Now by comparing both equation (i) and equation (ii),

OB/BQ = OC/CR

Then, in ∆OQR

OB/BQ = OC/CR

Therefore, BC || QR

i

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