Axioms, Definitions and Theorems Worksheet with Answer Key

What's on the worksheet

1. Use the distance formula to decide whether segments are neat (whole number length).
2. Decide whether numbers are near-squares and prove facts about them.
3. Count lines and points in a world with two axioms and 13 points.
4. Add a third axiom and show another cannot be proved from the rest.
5. Work out which axioms each result in a short text depends on.
6. Check the nine point, twelve line world against the axioms.
7. Prove a triangle has at most one obtuse angle from the angle sum theorem.