Constructing Perpendicular Bisectors

The video tutorial guides viewers through constructing a perpendicular bisector of a line segment AB. It explains the properties of a perpendicular bisector, including its 90-degree intersection and midpoint division. The tutorial demonstrates using a virtual compass to draw circles centered at points A and B, with radii equal to the length of AB, to find intersection points. These points are then connected with a straight edge to form the bisector. The video concludes by verifying the construction's accuracy.

What is the main characteristic of a perpendicular bisector?

• It divides a line segment into three equal parts.

• It forms a 90-degree angle with the line segment.

• It is parallel to the line segment.

• It is longer than the line segment.

Tags

CCSS.HSG.CO.C.9

Which tools are necessary for constructing a perpendicular bisector?

• Protractor and ruler

• Compass and straight edge

• Calculator and pencil

• Eraser and paper

What is the purpose of centering the compass at point A?

• To measure the length of AB

• To draw a circle with a radius equal to AB

• To draw a circle with a radius longer than AB

• To draw a square around AB

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CCSS.4.G.A.1

After drawing circles centered at A and B, what do these circles provide?

• The midpoint of AB

• Two points to draw the perpendicular bisector

• The area of the circles

• The length of AB

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CCSS.8.G.A.3

What is the next step after obtaining the two intersection points from the circles?

• Erase the circles

• Draw a line connecting the two points

• Measure the distance between the points

• Draw another circle

Tags

CCSS.HSG.CO.C.9

What is the result of connecting the two intersection points?

• A line longer than AB

• A perpendicular bisector of AB

• A line parallel to AB

• A circle around AB

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Why is it important to use a straight edge in this construction?

• To measure angles

• To draw straight lines

• To draw circles

• To erase mistakes

Tags

CCSS.HSG.CO.C.9

What confirms the correctness of the perpendicular bisector construction?

• The bisector is longer than AB

• The bisector is invisible

• The bisector is parallel to AB

• The bisector forms a 90-degree angle with AB

Tags

CCSS.HSG.CO.C.9