Explain How To Construct A Perpendicular bisector

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To construct a perpendicular bisector, follow these steps:

1. Draw a straight line segment that you want to bisect. Let's call this line segment "AB."

2. Use a compass to draw arcs from points A and B that are of equal radius, making sure the arcs intersect above and below line AB. Let's call these points of intersection "C" and "D."

3. With your compass set to a radius greater than half the length of line segment AB, draw arcs from points C and D. The arcs should cross each other. Let's call the intersection point "E."

4. Draw a straight line passing through point E and connecting the intersecting arcs.

This line that you have drawn is the perpendicular bisector of line segment AB. It divides the line segment into two equal halves, and it is perpendicular (at a 90-degree angle) to the original line segment.

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