Perpendicular Bisectors and Angle Bisectors

Author:Malia Heimbach, AJ Storck, Amanda Tucker

Follow these steps to construct perpendicular bisectors

1) Using the COMPASS TOOL, create a circle with radius AB and center point A 2) Using the COMPASS TOOL, create a circle with radius AB and center point B 3) Using the SEGMENT TOOL, draw a segment that connects the intersections of circles A and B 4) Using the POINT TOOL, mark point E at the intersection of segments AB and CD RESULTS: Segment CD is the Perpendicular Bisector of segment AB Point E is the Midpoint of segment AB

Construction #1

Check Your Understanding

What does the term perpendicular bisector mean?

Select all that apply

A
A line that crosses the midpoint of another line
B
A line that crosses the midpoint of another line at a 90 degree angle
C
A line that splits an angle into 2 equal angles

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Follow these steps to bisect an angle:

1) Using the POINT TOOL, mark point D on segment AB 2) Using the COMPASS TOOL, create a circle with radius AD and center point A 3) Using the POINT TOOL, mark point F where circle A intersects segment AC 4) Using the COMPASS TOOL, create a circle with the radius DF and center point D 5) Using the COMPASS TOOL, create a circle with the radius DF and center point F 6) Using the SEGMENT TOOL, draw a segment from point A to the intersection of circles D and F RESULTS: Segment AG is the Angle Bisector of angle CAB

Check Your Understanding

What does the term angle bisector mean?

Select all that apply

A
To create 3 angles
B
To split an angle into 2 equal angles
C
The midpoint of a line is marked with a perpendicular line

Check my answer (3)

Perpendicular Bisectors and Angle Bisectors

Follow these steps to construct perpendicular bisectors

Construction #1

Check Your Understanding

Follow these steps to bisect an angle:

Check Your Understanding

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