Chapter 5: Introduction to Euclid's Geometry

Questions

1. State Euclid's fifth postulate.
2. Are things equal to same thing equal?
3. Number of points to determine a line.
4. Which postulate says a circle can be drawn?
5. Distinguish axiom vs theorem.
6. State Euclid's axiom about wholes and parts.
7. Are all right angles equal (per Euclid)?
8. Prove: if $AC = BC$ and $C$ is midpoint of $AB$, then $AC = AB/2$.
9. State Euclid's postulate 2.
10. Give an example of an axiom.

Extra Practice (Optional)

• Difference between axiom and theorem.
• Which postulate ensures a line can be extended?
• Are all radii of a circle equal (from which axiom)?
• State postulate 4.
• Explain: 'A whole is greater than the part' with an example.