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Write a set of instructions explaining how to construct aperpendicular bisector.

Question

Write a set of instructions explaining how to construct a perpendicular bisector.

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Solution

Sure, here are the steps to construct a perpendicular bisector:

  1. Start by drawing a straight line segment using a ruler. This line segment will be the one you are going to bisect.

  2. Place the point of the compass at one end of the line segment and draw an arc that is more than half way to the other end of the line segment.

  3. Without changing the compass width, place the point of the compass at the other end of the line segment and draw another arc that intersects the first arc.

  4. Draw a straight line from the point where the arcs intersect to the middle of the line segment. This line is the perpendicular bisector of the original line segment.

  5. You can verify that it is a perpendicular bisector by measuring the two segments on either side of the bisector. They should be equal in length, and the angle between the bisector and the original line segment should be 90 degrees.

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