How to Construct a Perpendicular Bisector of a Line Segment

The video tutorial explains how to construct a perpendicular bisector of a given line segment AB. It involves using a compass to draw arcs from points A and B, marking the intersection points of these arcs, and drawing a straight line through these points to form the perpendicular bisector, line L. The tutorial concludes by confirming that line L bisects AB at point M, making AM equal to BM.

What is the first step in constructing a perpendicular bisector of a line segment?

• Draw a circle with the line segment as the diameter.

• Measure the length of the line segment.

• Place the compass on point A and draw arcs.

• Draw a straight line through the midpoint.

When drawing arcs from point B, what should be ensured?

• The arcs should intersect at the midpoint of the line segment.

• The arcs should be smaller than half the line segment.

• The distance on the compass should be the same as used from point A.

• The arcs should be drawn only above the line segment.

What do you do after marking the intersection points of the arcs?

• Measure the distance between the intersection points.

• Erase the arcs.

• Draw another set of arcs from the intersection points.

• Draw a straight line through the intersection points.

What is the significance of the line drawn through the intersection points?

• It bisects the line segment into three equal parts.

• It is a tangent to the arcs drawn.

• It is the perpendicular bisector of the original line segment.

• It is parallel to the original line segment.

What can be concluded about the segments AM and BM?

• AM is twice the length of BM.

• AM is unrelated to BM.

• AM is equal to BM.

• AM is half the length of BM.