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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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Similar questions

Q. In the figure alongside P, Q, R are three non-collinear points. Draw a line passing through each set of 2 points. How many lines like this can we draw?

Q. Lines p, q and r are concurrent. Also, lines p, r and s are concurrent. Draw a figure and state whether lines p, q, r and s are concurrent or not.

Q. Look at the figure and answer the questions:

(1) Name the collinear points.
(2) Write all the groups of non-collinear points.
(3) Name the concurrent lines and their points of concurrence.

Q. Four lines p, q, r and s are said to be concurrent. What do they pass through?

Q. In the adjoining figure, name:
(i) four pairs of intersecting lines
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(iii) three noncollinear points
(iv) three concurrent lines
(v) three lines whose point of intersection is P
Figure

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