lesson
Using Constructions to Prove Geometric Properties
Provide formal synthetic proofs justifying why compass-and-straightedge constructions produce exact geometric figures.
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Compass-and-Straightedge Geometric Constructions
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
- Copying Segments and Angles with Compass and StraightedgeUp next
- Constructing Perpendicular Bisectors and MidpointsNot started yet
- Constructing Angle BisectorsNot started yet
- Constructing Perpendicular Lines Through a Point on or off a LineNot started yet
- Constructing Parallel Lines Through a Given PointNot started yet
- Constructing Triangles from Given SSS, SAS, and ASA ConditionsNot started yet
- Constructing Equilateral Triangles and Regular HexagonsNot started yet
- Constructing Squares and Inscribed Regular PolygonsNot started yet
- Constructing Inscribed and Circumscribed Circles of TrianglesNot started yet
- Constructing Tangent Lines to a Circle from an External PointNot started yet
- Using Constructions to Prove Geometric PropertiesYou are here
Learning standards covered
OGM.9.GEO.6Open Global Math Standards 2026™ · 8th GradeUnderstand logical proof structures (definitions, propositions, converse, direct proof, proof by contradiction, counterexamples) and construct rigorous synthetic geometric proofs.
OGM.9.GEO.7Open Global Math Standards 2026™ · 8th GradeExecute compass-and-straightedge geometric constructions (angle bisector, perpendicular bisector, copying angles, parallel lines, triangles from given elements, inscribed/circumscribed circles, regular polygons, circle tangents).