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Compass-and-Straightedge Geometric Constructions

8th Grade · Math · Open Global Math

11 lessons

Goal

Execute classic compass-and-straightedge constructions and construct formal geometric proofs justifying why each construction works.

11 lessons
0 of 11 done
  1. Copying Segments and Angles with Compass and StraightedgeUp next
  2. Constructing Perpendicular Bisectors and MidpointsNot started yet
  3. Constructing Angle BisectorsNot started yet
  4. Constructing Perpendicular Lines Through a Point on or off a LineNot started yet
  5. Constructing Parallel Lines Through a Given PointNot started yet
  6. Constructing Triangles from Given SSS, SAS, and ASA ConditionsNot started yet
  7. Constructing Equilateral Triangles and Regular HexagonsNot started yet
  8. Constructing Squares and Inscribed Regular PolygonsNot started yet
  9. Constructing Inscribed and Circumscribed Circles of TrianglesNot started yet
  10. Constructing Tangent Lines to a Circle from an External PointYou are here
  11. Using Constructions to Prove Geometric PropertiesNot started yet
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Learning standards covered

GlobalOGM.9.GEO.5Open Global Math Standards 2026™ · 8th Grade

Understand and apply the properties of circles (central angles, inscribed angles, chords, perpendicular chord theorem, tangent lines, tangent segments theorem, inscribed/circumscribed polygons, incenter, circumcenter).

GlobalOGM.9.GEO.7Open Global Math Standards 2026™ · 8th Grade

Execute compass-and-straightedge geometric constructions (angle bisector, perpendicular bisector, copying angles, parallel lines, triangles from given elements, inscribed/circumscribed circles, regular polygons, circle tangents).