Geometry
Line Segment Construction Worksheets
Construct midpoints, perpendicular bisectors and parallel lines using a compass and straightedge.
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Perpendicular Bisector Construction Worksheets
Construct perpendicular bisectors of segments and triangle sides on printable worksheets.
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Construct the perpendicular bisector of the named segment or triangle side using equal compass radii.
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Customize this worksheetUse both endpoints
Points where equal-radius arcs meet are equally distant from both segment endpoints.
Learning objective
What this activity builds
Construct a line perpendicular to a segment through its midpoint.
Worked example
Why do equal-radius arcs from A and B identify the perpendicular bisector?
Their intersections are equally distant from A and B.
The line through two such intersections is perpendicular to AB and passes through its midpoint.
Teaching notes
Make the practice count
- Use an opening larger than half the segment.
- Keep the same opening at both endpoints.
- Extend the bisector far enough to show it crossing the segment.
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Four tasks include two supplied segments and two named sides of complete triangles. Native variants are fixed to provide complete teaching coverage; the source form exposes no task-specific controls.
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