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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
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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
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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.
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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.
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(1-1-5)
(1-1-4)
1-1-4
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Postulate 1-1-3
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Postulate 1-1-3
Postulate 1-1-2
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Interpreting a Diagram
Is AO
AO
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True
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1 Identify the hypothesis and conclusion of this conditional statement:If two lines intersect at right angles, then the two lines
at right angles.
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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.
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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.
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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.
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6
and are congruent.
is the complement of
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7
I can go to the concert.
If I can go to the concert, I can afford the ticket.
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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.
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Homework: W.S. Lesson 2.4 Practice ATest next class
Study sections 2.2 -2.4 and the postulates you wrote down today.
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