Things that may appear on the first test:

• Prove the ASA theorem
• Prove the If Supplementary then parallel theorem
• Given a statement of a theorem, rewrite it in if-then format.
• Given the statement of a theorem, write a good "let" statement to start the proof.  Note: a good let statement includes...
  • gives names to the given objects in the hypothesis
  • uses "such that" phrases to include all of the hypotheses of the theorem (including specifying named sides of defined objects, such as telling which the base is of an isosceles triangle)
  • does not include any of the results to be proved in the conclusion.
• Given that a theorem is to be proved by contradiction, either:
  • set up the proof by contradiction by writing the "Suppose" statement or
  • complete the proof by contradiction by identifying and negating the supposition.
• Given a proof of a theorem, justify a step or steps in the proof by citing the correct axiom or theorem.
• Know the axioms that are true for Euclidean, Hyperbolic and Spherical geometry, and be able to give examples.
• Know some results that are true for Euclidean, Hyperbolic and Spherical geometry, especially about parallel lines and angles in triangles and quadrilaterals.
• A question or questions from the reading questions lists.