Goal:Use algebraic properties in logical arguments. 1.

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Presentation transcript:

Goal:Use algebraic properties in logical arguments. 1

Let a, b, and c be real numbers. 2

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a(b + c) = a aa ab + ac, where a, b, and c are real numbers. 5

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Speed:A motorist travels 5 miles per hour slower than the speed limit s for 3.5 hours. The distance traveled d can be determined by the formula d = 3.5(s – 5). Solve for s. 9

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 m ∠ ABD=m ∠ CBE  m ∠ ABD-m ∠ 2= m ∠ 1  m ∠ CBE-m ∠ 2= m ∠ 3  m ∠ ABD-m ∠ 2= m ∠ CBE-m ∠ 2  m ∠ 1= m ∠ 3  Given  Angle Addition Postulate  Substitution Property In the diagram, m ∠ ABD= m ∠ CBE. Show that m ∠ 1= m ∠ 3. A B C D E What do we know? What’s given to us? What do I need to do to get angle 1? What about angle 3? How are these angles related? How do I know they are equal?

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Complete in your notebooks. Page , 16, 21-25, 28, 31, 33