1. Ch. 2.6: Proving Statements about Angles
GEOMETRY: CHAPTER 2
Ch. 2.6: Proving Statements about Angles

2. Theorem 2.3: Right Angles Congruence Theorem
All right angles are congruent.

3. Right Angles Congruence Theorem Proof:

4. Ex. 1: Use right angle congruence
Write a proof:

5. Theorem 2.4: Congruent Supplements Theorem
Image taken from: Geometry. McDougal Littell: Boston, P. 125.
If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

6. Theorem 2.5: Congruent Complements Theorem
Image taken from: Geometry. McDougal Littell: Boston, P. 125.
If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

7. Ex 2: Prove a case of Congruent Supplements Theorem
Prove that two angles supplementary to the same angle are congruent.
Image taken from: Geometry. McDougal Littell: Boston, P. 125.

8. 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.
Image taken from: Geometry. McDougal Littell: Boston, P. 126.

9. Theorem 2.6: Vertical Angles Congruence Theorem
Image taken from: Geometry. McDougal Littell: Boston, P. 126.
Theorem 2.6: Vertical Angles Congruence Theorem
Vertical angles are congruent.

10. Go to Chapter 2, Lesson 7, Ex. 3. Write this in your notes