Constructing a Perpendicular Bisector

This video tutorial demonstrates how to construct the perpendicular bisector of a line segment AB using a compass and straightedge. The process involves setting the compass to a length greater than half of AB, drawing arcs from points A and B, identifying intersection points C and D, and drawing a line through these points to form the bisector. The video concludes by explaining the properties of the perpendicular bisector, including congruent segments and right angles.

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

• Measure the length of the line segment

• Label the midpoint

• Draw a straight line

• Set the compass on point A

Why must the compass length be greater than half the length of the line segment?

• To ensure the arcs intersect

• To make the construction easier

• To avoid errors

• To draw a larger circle

What should you do after setting the compass on point A?

• Draw a straight line

• Swing an arc

• Move the compass to point B

• Label the intersection points

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What is crucial when moving the compass to point B?

• Draw a smaller arc

• Change the compass length

• Label point B

• Keep the compass length the same

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What do you label the points where the arcs intersect?

• C and D

• A and B

• E and F

• X and Y

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What tool should you use to connect the intersection points?

• A ruler

• A protractor

• A compass

• A straight edge

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What is the line passing through points C and D called?

• Median

• Perpendicular bisector

• Angle bisector

• Altitude

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What is the measure of angle CBE?

• 90 degrees

• 45 degrees

• 60 degrees

• 120 degrees

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What can be said about line segments AE and EB?

• They are equal in length

• They are parallel

• They are perpendicular

• They are congruent

What is the final step in constructing the perpendicular bisector?

• Change the compass length

• Draw another arc

• Label the intersection point

• Erase the construction lines