Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only. How many such lines can be drawn *
Answers
Step-by-step explanation:
"Steps of construction:
- Draw a line, AB, take a point C outside this line. Take any point P on AB. Join C to P.
- Taking P as a centre and a convenient radius, draw an arc intersecting line AB at D and PC at E.
- Taking C as the centre and the same radius in the previous step, draw an arc FG intersecting PC at H.
- Adjust the compass up to the length of DE. Without changing the opening of the compass and taking H as the centre, draw an arc to intersect arc HG at point I.
- Join the point C and I to draw the line l as shown in the figure.
- Thus, line l is parallel to line AB."
Answer:
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