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Geometry practice

Angle Construction Worksheets

Copy angles and construct 60-degree and 90-degree angles with printable compass-and-straightedge exercises.

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Worksheet · LetterWorksheet · A4
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Use only a compass and straightedge to construct the angle requested on each supplied ray.

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US Letter

Student worksheetWorksheet with answers

A4

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Paper sizes and printing help · More geometry activities

Copy, do not measure

A copied chord transfers an angle exactly. Equilateral and perpendicular constructions create exact 60-degree and 90-degree angles.

Learning objective

What this activity builds

Transfer angles and construct standard angles without a protractor.

Worked example

How can you construct a 60-degree angle on a given segment?

Construct an equilateral triangle on the segment.

Equal-radius circles centered at the endpoints determine the third vertex. Every angle in the equilateral triangle is 60 degrees.

Teaching notes

Make the practice count

  • Keep the compass radius unchanged when transferring an arc.
  • Transfer the chord between arc intersections when copying an angle.
  • Leave auxiliary arcs visible for checking.

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Four tasks cover exact angle copying plus compass-and-straightedge constructions of 60-degree and 90-degree angles. Native variants are fixed to provide complete teaching coverage; the source form exposes no task-specific controls.

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Configured PDF · Construct Angles · US Letter

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Math SheetNameScoreTeacherDateConstruct AnglesUse only a compass and straightedge. Copy compass widths; do not measure with a protractor.Compass and straightedge workspace1.Copy angle TSU at vertex V, using ray VW as the first side.STUVWWORKSPACE2.At A, construct a 60-degree angle using ray AB.ABWORKSPACE3.At S, construct a 90-degree angle to ray ST.STWORKSPACE4.Copy angle KJL at vertex M, using ray MN as the first side.JKLMNWORKSPACEKeep construction arcs visible. Do not measure with a ruler or protractor.math-sheet.comPage 1 of 1

A useful next step

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First page preview: Triangle Construction Worksheets

Geometry

Triangle Construction Worksheets

Construct equilateral and three-side triangles from supplied segments with usable paper workspace.

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