Perpendicular Bisector Construction
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Objective
I can construct a perpendicular bisector of a line segment using a compass and straightedge.
Part 1 of 3
Key concepts
3 concepts
- 1
A perpendicular bisector is a line, ray, or segment that intersects another line segment at its midpoint, forming a precise 90-degree angle.
- 2
The construction of a perpendicular bisector requires only a compass and a straightedge, and the compass radius must be set to greater than half the segment's length.
- 3
After drawing arcs from both endpoints of the segment, you connect the two intersection points with a straightedge to create the perpendicular bisector.
Part 2 of 3
Practice
7 questions
What two essential geometric properties define a perpendicular bisector?
During the construction of a perpendicular bisector, why is it crucial to set the compass radius to a length greater than half of the given line segment?
Part 3 of 3
Exit ticket
Quick comprehension check
“Describe the step-by-step process for constructing a perpendicular bisector of a given line segment using only a compass and a straightedge.”
Sample answer included in the free materials
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Teacher Guide
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Student Handout
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