Using Deductive Reasoning 1'7

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Using Deductive Reasoning1.7

• Sarah Beers says Hi everyone

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• Deductive Reasoning a process of reasoning
  logically from given facts to a conclusion
• Example Shaun Alexander will get the ball if
  the Seahawks are inside the five yard line. The
  Seahawks are first and goal on the 3. What
  conclusion can you make?

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Properties of Equality and Real Numbers

• Addition - if a b then a c b c
• Subtraction if a b then a - c b c
• Multiplication - if a b then a c b c
• Division - if a b then a / c b / c
• Substitution if a b then b can replace a in
  any expression
• Distributive a(bc) ab bc

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Properties of Congruence

• Reflexive AB AB
• A A
• Symmetric If AB CD then CD AB
• If A B then B A
• Transitive If AB CD and CD EF then AB EF
• If A B and B C then A C

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Angles

• Vertical two angles whose sides are opposite
  rays
• Adjacent two coplanar angles with a common
  side, a common vertex, and no common interior
  points
• Complementary two angles the sum of which
  measures 90 degrees
• Supplementary - two angles the sum of which
  measures 180 degrees

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Theorems

• Vertical Angles (1.1) Vertical angles are
  congruent
• Congruent Supplements (1.2) if two angles are
  supplements of congruent angels then the two
  angles are congruent
• Congruent Compliments ( 1.3) If two angles are
  compliments of congruent angels then the two
  angles are congruent

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Homework

• P. 50 2-38e