Using ruler and compass draw a line parallel to a given line at a distance of 4 cm
Answers
Answer:
pls follow these steps
Step-by-step explanation:
Locate the given line and the given point. The point will not be on the given line, and can be above or below it. Label the line {\displaystyle m} and the point {\displaystyle A}.
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2
Draw an arc that intersects the given line at two different points. To do this, place the compass tip on point {\displaystyle A}. Open the compass so that it is wide enough to reach beyond line {\displaystyle m}, then draw an arc that sweeps across the line at points {\displaystyle B} and {\displaystyle C}.
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3
Draw a small arc opposite the given point. To do this, open the compass a little wider. Set the compass tip on point {\displaystyle B}, and draw an arc that sweeps directly across from point {\displaystyle A}.
If the given point is above the line, you should draw this arc below the line. If the given point is below the line, you should draw this arc above the line.
The arc does not have to be very long, as long as part of it falls directly under the given point.
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4
Draw a another small arc intersecting the previous one. To do this, keep the compass set to the same width. Set the compass tip on point {\displaystyle C} and draw an arc that intersects the previous small arc. Label this point {\displaystyle D}
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5
Draw a line that connects the given point and the intersection of the two small arcs. Label this line line {\displaystyle n}. Line {\displaystyle n} is perpendicular to line {\displaystyle m} through points {\displaystyle A} and {\displaystyle D}.[2]
Remember, a perpendicular line is a line that creates a 90 degree angle.
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6
Draw an arc that intersects the perpendicular line at two different points. To do this, place the compass tip on point {\displaystyle A}, then draw an arc that sweeps across line {\displaystyle n} at points {\displaystyle E} and {\displaystyle F}.
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7
Draw a small arc opposite the given point. To do this, open the compass a little wider. Set the compass tip on point {\displaystyle E}, and draw an arc that sweeps directly across from point {\displaystyle A}.
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8
Draw a another small arc intersecting the previous one. To do this, keep the compass set to the same width. Place the compass tip on point {\displaystyle F} and draw an arc that intersects the previous small arc. Label this point {\displaystyle G}.
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9
Draw a line connecting the given point to this new point. This line is perpendicular to line {\displaystyle n}. [3] Thus, it is parallel to line {\displaystyle m} and passes through the given point, point {\displaystyle A}.