geometry lesson 3 - mr. simmon's class...

Geometry Lesson 3.3A Monday, August 31, 2015

Geometry: Module 3 Lesson 3A

Bellwork: Explain 1: Use the definitions theorems and postulates learned so far to begin deductive logic. With a given bit of information, be able to make a logical next stepPractice 1: Worksheet (yellow)Presentations:

Explain 2: Practice proofsPractice 2: Worksheet (white) Closing:


3.3ABegin UsingDeductiveLogic

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Nothing in math is used that cannot be ____________.

To prove things false, we use ______________ reasoning to provide a __________________.

To prove things true, we use ______________ reasoning to provide a formal proof.



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1243

m

n

Step Reason1) Lines m and n intersect

<1 and <2 are a linear pair

<2 and <3 are a linear pair

2) 1) Given2) Definition of linear pair

3) m<1 + m<2 = 180 3) Linear Pair Theorem

4) m<1 = 180 m<2 4) subtraction property of equality

5) m<2 + m<3 = 180 Linear Pair Theorem5)

6) m<3 = 180 m<2 6) subtraction property of equality

7) (if m<1 = 180 m<2, and m<3 = 180 m<2)

m<1 = m<3 7) Transitive Property or Substitution

8) <1 ≅ <3 8) Definition of Congruence

Given: lines m and n intersect to form angles 1, 2, 3, and 4 (as shown)

Prove:



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Properties and Possible Next Statements:

1) Definition of congruence

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SG = TP



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2) Definition of Midpoint

M is the midpoint of

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Point B is between A and B on a line and



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Algebraic Properties:



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Algebraic Properties:

geometry lesson 3 - mr. simmon's class...

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