Constructing Perpendicular Bisectors

This video tutorial explains how to construct a perpendicular bisector of a given line segment. It begins with setting up the line segment and using a compass to draw arcs from both endpoints. The intersection points of these arcs are marked, and a straight line is drawn through them, forming the perpendicular bisector. The tutorial concludes by verifying the bisector's properties.

What is the first step in constructing a perpendicular bisector?

• Use a compass to draw arcs from one endpoint.

• Draw a straight line through the midpoint.

• Measure the line segment with a ruler.

• Fold the paper to find the midpoint.

Why is it important to set the compass width to more than half the line segment?

• To ensure the arcs intersect.

• To avoid drawing too many arcs.

• To make the process faster.

• To make the arcs larger.

What should you do after drawing arcs from point A?

• Draw a line through point A.

• Draw arcs from point B.

• Erase the arcs.

• Measure the distance between arcs.

What happens if the compass width is less than half the line segment?

• The construction will be incorrect.

• The arcs will not intersect.

• The arcs will be too large.

• The line will be too short.

What is the role of the compass in this construction?

• To draw the perpendicular line.

• To draw arcs that intersect.

• To find the midpoint.

• To measure the line segment.

What is the purpose of drawing arcs from both points A and B?

• To create a decorative pattern.

• To find the midpoint of the line segment.

• To ensure the arcs intersect at two points.

• To measure the length of the line segment.

Why is it important to use the same compass width for arcs from both points?

• To make the arcs larger.

• To avoid using too much paper.

• To make the construction faster.

• To ensure the arcs are symmetrical.

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

• Draw more arcs.

• Erase the intersection points.

• Measure the distance between them.

• Draw a straight line through them.

What is the line called that passes through the intersection points?

• Line M

• Line AB

• Line L

• Line C

What is the result of connecting the intersection points of the arcs?

• A parallel line to AB.

• A perpendicular bisector of AB.

• A tangent line to AB.

• A diagonal line to AB.