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Question

how to construct parallel lines using compass

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Solution

There are some important steps to be followed to construct parallel lines. The steps are explained as follows.

Step 1: Draw a line PQ and take one point R above this line.
Construct Parallel Lines

Step 2: Now, join the point R with the line PQ so that it will make some angle. Here, it intersects the line PQ at some point J.
Intersecting Line
Step 3: Now, take the length of compass as half the length of RJ and draw an arc taking J as center.
Second Method to Construct Parallel Lines
Step 4: Now with the same arc width, draw an arc taking R as center. Also measure arc length of arc below using compass.
Method to Construct Parallel Lines
Step 5: Now take the compass above and cut the point at above arc, taking intersectionof upper arc and line RJ as center.
How to Draw Parallel Lines
Step 6: Draw a straight line that will pass through the points R and S.
Drawing Parallel Lines

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