XY is a line segment. With X and Y as centers and any radius greater than half of XY, draw arcs on either side of XY such that they meet at A and B, respectively. Join AB. Now, AB is the ________ of XY.

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Solution

Upon following the given steps, we end up constructing a perpendicular bisector as shown below.

XY is the perpendicular bisector of AB.

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XY is a line segment. With X and Y as centers and any radius greater than half of XY, draw arcs on either side of XY such that they meet at A and B, respectively. Join AB. Now, AB is the ________ of XY.

Upon following the given steps, we end up constructing a perpendicular bisector as shown below. XY is the perpendicular bisector of AB.

Upon following the given steps, we end up constructing a perpendicular bisector as shown below.

XY is the perpendicular bisector of AB.