Make geometric constructions

What you'll learn

1. Perform the six fundamental compass-and-straightedge constructions: copy a segment, copy an angle, bisect a segment, bisect an angle, construct a perpendicular line (including the perpendicular bisector), and construct a line parallel to a given line through an external point
2. Explain why each construction works by connecting the steps to properties of circles, congruent triangles, and symmetry
3. Distinguish between a formal geometric construction (using only compass and straightedge) and a drawing or measurement-based sketch
4. Use alternative construction tools and methods, including string, reflective devices, paper folding, and dynamic geometry software such as GeoGebra
5. Justify that each construction produces the intended result by referencing precise geometric definitions and properties

Prerequisites

• Define geometric terms precisely
• Define transformations formally