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in Geometry by (65.3k points)

Draw a line, say AB, take a point C out-side it. Through C, draw a line parallel to AB using ruler and compasses only.

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Steps of Construction

1. Draw a line AB. Take a point C outside it. Take any point D on AB and join C to D.

2. With D as centre and a convenient radius, draw an arc cutting AB at F and CD at E.

3. Now with C as centre and the same radius as in step 2, draw an arc GH cutting CD at I.

4. Place the pointed tip of the compasses at F and adjust the opening so that the pencil tip is at E.

5. With the same opening as in step 4 and with I as centre, draw an arc cutting the are GH at J.

6. Now Join CJ to draw a line ‘KL’. KL is the required parallel line.

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