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Parallel Lines with a Transversal

In the figure...

Question

In the figure alongside, four points P, Q, R and S are given, Draw lines, each passing through any two of the points. Then answer these questions.

(1) Name the lines whose points of concurrence is Q.
(2) Which of the lines PS, SR, QS and PR are concurrent?

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Solution

The following lines can be drawn through points P, Q, R and S.

(1) The lines whose point of concurrence is Q are PQ, QR and QS.

(2) Out of the lines PS, SR, QS and PR, PS, SR and QS are concurrent because they pass through the same point S.

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Figure

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