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More Angle Relationships

More Angle Relationships. Deductive Reasoning. To deduce means to reason from known facts When you prove a theorem, you are using deductive reasoning using the existing structure to deduce new parts of the structure

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More Angle Relationships

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  1. More Angle Relationships

  2. Deductive Reasoning • To deduce means to reason from known facts • When you prove a theorem, you are using deductive reasoning • using the existing structure to deduce new parts of the structure • In geometry, as in construction, new parts of the structure are built upon existing parts

  3. Congruent Supplements Theorem • If ∠1 and ∠2 are supplementary and ∠2 and ∠3 are supplementary Then ∠1 ∠3

  4. Congruent Supplements Theorem

  5. Congruent Complements Theorem If ∠4 and ∠5 are complementary and ∠5 and ∠6 are complementary Then ∠4 ∠6

  6. Proof of Congruent Complements Theorem Fill in the missing steps and missing reasons

  7. Identifying Special Pairs of Angles • Vertical Angles • Are congruent

  8. Vertical Angles Theorem • If two angles are vertical angles, then they are congruent. Statements Reasons Given Def of linear pair Congruent supplements Theorem Def of congruent angles

  9. HW Pg. 128 #12, 15, 17-21 Pg. 129 #30

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