1. Chapter 2.7 Notes: Prove Angle Pair Relationships
Goal: You will use properties of special pairs of angles.

2. Theorem 2.3 Right Angles Congruence Theorem:
All right angles are congruent.
Theorem 2.4 Congruent Supplements Theorem:
If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.
Theorem 2.5 Congruent Complements Theorem:
If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

3. Intersecting Lines:
When two lines intersect, pairs of vertical angles and linear pairs are formed.
Postulate 12 Linear Pair Postulate:
If two angles form a linear pair, then they are supplementary.
Theorem 2.6 Vertical Angles Congruence Thm:
Vertical angles are congruent.

4. Ex. 1: Use the diagram for (a) – ( c). a. If , find b. If , find c
Ex.1: Use the diagram for (a) – ( c). a. If , find b. If , find c. If , find

5. Ex.2: Find x and

6. Ex.3: Solve for x and y. Find A B (8y – 5) (9x + 12) O (12x – 12) (10y – 15) C D

7. Ex.4: Find x and y.

8. Ex.5: Find x and y.

9. Ex. 6: Write a two-column proof. Given: are complements
Ex.6: Write a two-column proof. Given: are complements. are complements. Prove: