← MATH 01310 · College Geometry
MATH 01310 · Circles & advanced Euclidean themes
Constructions ideas
Definition
Classical constructions use unmarked straightedge and compass: copy segments/angles, bisect, perpendiculars, parallel through a point, equilateral triangle, etc.
Read this
Each construction is a theorem in disguise — justify why the intersection points work (often congruent triangles).
Impossible classics (angle trisection, squaring the circle) show limits of straightedge-compass.
Digital tools (Euclidea/GeoGebra) build the same habits interactively.
Drill with flashcards
Flip through these until you can say the answer before revealing it.
Flashcards · 1 / 3
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Try this
Attempt each problem first, then open the worked solution.
1.Construct a perpendicular bisector and explain the equidistance reason.