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1. Postulates and Theorems

2. Postulate vs. Theorem Postulate (axiom): A statement that is accepted as true without proof. Theorem: An important statement that must be proved before it can be accepted.

3. Reading postulates and theorems

4. Theorems

5. Theorem 1.3.1 The midpoint of a line segment is unique.

6. Theorem 1.6.1 If two lines are perpendicular, then they meet to form right angles.

7. Theorem 1.7.6 If the exterior sides of two adjacent angles form a straight line, then these angles are supplementary.

8. Theorem 2.1.2 If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

9. Evaluation

10. 1. How many endpoints does a line segment have?

11. 2. How many midpoints does a line segment have?

12. 3-5. How many distinct lines can be drawn through a. point b. both points A and B at the same time? c. all points A, B, and C?

13. 6-10

14. 11-14

15. 15