Geom 2point6
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This document discusses properties and theorems related to angle congruence. It defines angle congruence as a relation that is reflexive, symmetric, and transitive. It also presents several theorems: all right angles are congruent; angles that are supplementary or complementary to the same (or congruent) angles are congruent; angles forming a linear pair are supplementary; and vertical angles are congruent. Examples are provided to illustrate using these properties and theorems to prove statements about angles.
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Geom 2point6
- 1. 2.6 Proving Statements about Angles Objectives: - Use angle congruence properties - Prove properties about special pairs of angles
- 2. Properties of Segment Congruence Reflexive Symmetric Transitive For any angle A, ⁄ A ~= ⁄ A If ⁄ A ~= ⁄ B , then ⁄ B ~= ⁄ A If ⁄ A ~= ⁄ B and ⁄ B ~= ⁄ C , then ⁄ A ~= ⁄ C
- 3. Look at p. 109 Example 1 And page 110 Example 2
- 4. Right Angle Congruence Theorem Take a guess . . . All right angles are congruent
- 5. More Angle Congruence Theorems If two angles are supplementary to the same angle (or to congruent angles), then they are congruent If two angles are complementary to the same angle (or to congruent angles) then the 2 angles are congruent
- 6. Postulate If 2 angles form a linear pair, then they are supplementary
- 7. Vertical Angles Theorem Vertical angles are congruent