Question

Given:A,B,C are points on OP,OQ,OR respectively such that AB // PQ and AC // PR. Show that BC//QR .


Refer the attachment for the figure .

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Answer 1

Answer:

solution to the question is in the above pic

Answer 2

Given:

• AB // PQ
• AC // PR

To show:

• BC // QR

Solution:

Since,

• AB // PQ

∴ OA/OP = OB/OR⠀----(1)

And,

• AC // PR

∴ OA/OP = OC/OR⠀----(2)

From (1) and (2),

➯ OB/OQ = OC/OR

∴ BC // QR⠀(Inverse BPT)

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