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Unit 2.6

Unit 2.6. Verifying Angle Relationships. Theorem 2-2. If two angles form a linear pair, then they are supplementary. Theorem 2-3. Congruence of angles is reflexive, symmetric and transitive. REFLEXIVE: <ABC = <ABC SYMMETRIC: If <ABC = <CDE, then <CDE = <ABC

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Unit 2.6

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  1. Unit 2.6 Verifying Angle Relationships

  2. Theorem 2-2 • If two angles form a linear pair, then they are supplementary.

  3. Theorem 2-3 • Congruence of angles is reflexive, symmetric and transitive. REFLEXIVE: <ABC = <ABC SYMMETRIC: If <ABC = <CDE, then <CDE = <ABC TRANSITIVE: If <ABC = <CDE and <CDE = <FGH, then <ABC = <FGH

  4. Theorem 2-4 • Angles supplementary to the same angle or to congruent angles are congruent.

  5. Theorem 2-5 • Angles complementary to the same angle or to congruent angles are congruent.

  6. Theorem 2-6 • All right angles are congruent.

  7. Theorem 2-7 • Vertical Angles are congruent.

  8. Theorem 2-8 • Perpendicular lines intersect to form four right angles.

  9. NOW LETS LOOK AT SOME PROoFS

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