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Geometry practice

Line Segment Construction Worksheets

Construct midpoints, perpendicular bisectors and parallel lines using a compass and straightedge.

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Worksheet · LetterWorksheet · A4
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Construct the requested midpoint, perpendicular bisector or parallel line. Keep your compass arcs visible.

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US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
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Preserve compass widths

Equal arcs locate exact midpoints, perpendiculars, and copied angles for parallel lines.

Learning objective

What this activity builds

Use compass arcs to locate equal distances and construct parallel or perpendicular lines.

Worked example

How can you find the midpoint of segment AB without measuring its length?

Intersect equal-radius arcs centered at A and B, then draw their common chord.

The common chord is the perpendicular bisector. Its intersection with AB is the midpoint.

Teaching notes

Make the practice count

  • Use the same compass opening from both endpoints.
  • Choose an opening greater than half the segment length.
  • Use a straightedge to connect constructed points.

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Four print-first tasks cover midpoint, perpendicular-bisector, and parallel-line constructions with large paper workspaces. Native variants are fixed to provide complete teaching coverage; the source form exposes no task-specific controls.

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Math SheetNameScoreTeacherDateConstruct Line SegmentsUse only a compass and straightedge. Keep every construction arc visible and label the requested result.Compass and straightedge workspace1.Construct and label midpoint M of segment ST.STWORKSPACE2.Construct the perpendicular bisector of segment ST.STWORKSPACE3.Construct a line through U parallel to line ST.STUWORKSPACE4.Construct and label midpoint M of segment JK.JKWORKSPACEKeep construction arcs visible. Do not measure with a ruler or protractor.math-sheet.comPage 1 of 1

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