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2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

Date:

Topic: Postulates and Diagrams

EQ: How do you use postulates involving points,

7 9/27-9/28"Make your own

commercial"Group Project

8 10/1-10/2

Notes -

Postulates and

Diagrams

Notes

9 10/1-10/2

W.S. Lessson

2.4 Practice A

(skip ones

crossed out)

Homework

Test 10/3-10/4

Test Sections

2.2-2.4- Points

lines and planes

postulates

Test

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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On the biconditionals page I have handed

you, copy down all of the postulates that

pertain to points, lines and planes. They

are on Page PT2 in the back of the book.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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If it is raining outside, then I will stay inside.

Given: Conclusion:

Law of Detachment

InvalidInvalid

Monday I stayed inside

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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Law of Syllogism

If it rains today, then I will stay inside.

If I stay inside, then I will watch T.V.

New conditional: If it rains today, then I will watch T.V.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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Postulates (or axioms)- Rules that are accepted without proof

Theorems - Rules that Can be proven.

Corrollary to a theorem - A statement that can be proved easily using a theorem.

Unlike definitions, the converse of postulates, theorems

and corrollaries cannot be assumed to be true.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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(1-1-5)

(1-1-4)

1-1-4

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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Postulate 1-1-3

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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Postulate 1-1-3

Postulate 1-1-2

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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Interpreting a Diagram

Is AO

AO

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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True

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2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

1 Identify the hypothesis and conclusion of this conditional statement:If two lines intersect at right angles, then the two lines

at right angles.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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2 Write this statement as a conditional in

If a figure has three sides, then it is not a

If a figure is a triangle, then it has three sides.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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3 A conditional can have a ____ of

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4If a point is in the first quadrant, then its coordinates

If a point is in the first quadrant, then its

If a point is not in the first quadrant, then the

the point is in the first quadrant.

then the point is not in the first quadrant.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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5 Write the two conditional statements that make up the

If I drink juice, then it is breakfast time.If it is breakfast time, then I drink juice.

If I drink juice, then it is breakfast time.

I drink juice.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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6

and are congruent.

is the complement of

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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7

I can go to the concert.

If I can go to the concert, I can afford the ticket.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

8

If a number is a multiple of 64,then it is a multiple of 8.If a number is a multiple of 8, then it is a multiple of 2.

If a number is a multiple of 64, then it is a multiple of 2.

The number is a multiple of 2.

The number is a multiple of 8.

If a number is not a multiple of 2, then the number is not a multiple of 64.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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October 02, 2012

Homework: W.S. Lesson 2.4 Practice ATest next class

Study sections 2.2 -2.4 and the postulates you wrote down today.

2.4 Postulates and Diagrams powerpoint brocket revised.notebook

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