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Lines in Unison

  • Construction of line parallel to given line:
    • Using ruler and compass:

Steps of construction to draw a line parallel to a given line m, through a point P, outside the line m:

    1. Take any point Q on m and join PQ.
    1. With Q as centre and convenient radius, draw an arc cutting m at R and PQ at S.
    1. With P as centre and the same radius, draw an arc TU cutting PQ at V; then with V as centre and radius equal to RS, draw an arc cutting TU at X.
    1. Join PX to draw a line n.




            Now, the line n is parallel to m.            [Correspo…

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