ACT® · Math: Geometry — Transformations, Proof, and Constructions
Why a Compass Construction Counts as a Proof
Watch it explained
- How it worksHow does every compass arc guarantee equal distances, which is what turns a drawing into an argument?
- Worked exampleWalk me through proving the perpendicular bisector construction works by finding the congruent triangles hiding in it.
- Common mistakeWhy doesn't a construction that looks right count as finished until you can name the congruent triangles in it?
- Ties togetherHow do compass constructions lean on the very same congruence criteria used to prove triangles equal?
Check yourself
Your turneasy1 of 3
Why does a compass-and-straightedge construction of the perpendicular bisector of a 12 cm segment prove more than careful measuring does?End of topic.