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Transcript of Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions,...
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Hosted
by
Ms. Williams
![Page 2: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/2.jpg)
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ConditionalsProperties of Equality Proofs
Definitions, Postulates and
Theorems
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Row 1, Col 1
The part of a conditional that follows the word “If”
What is the Hypothesis?
![Page 4: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/4.jpg)
1,2
is an example of this Property
What is the Reflexive Property of Equality?
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1,3
this is the missing reason
What is Given?
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1,4
is an example of this...
What is the definition of complementary angles?
9042 mm
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2,1
p: it is a treeq: it has roots
are the hypothesis and conclusion for this conditional
What is “If it is a tree then it has roots”?
![Page 8: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/8.jpg)
2,2
is an example of this Property
What is the Addition Property of Equality?
![Page 9: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/9.jpg)
2,3
is the missing statement
What is ZX = XY + ZY?
![Page 10: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/10.jpg)
2,4
FG + GH = FH
is an example of this…
What is the Segment Addition Postulate?
F G H
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3,1
p: it is a treeq: it has roots
are the hypothesis and conclusion for this converse.
What is “If it has roots, then it is a tree”?
![Page 12: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/12.jpg)
3,2
is an example of thisProperty
What is the Subtraction Property of Equality?
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3,3
this is the missing statement.
What is 4s – 9 = 2s + 17
![Page 14: Hosted by Ms. Williams 100 200 400 300 400 Conditionals Properties of Equality Proofs Definitions, Postulates and Theorems 300 200 400 200 100 500 100.](https://reader036.fdocuments.net/reader036/viewer/2022081603/56649ec05503460f94bcbf91/html5/thumbnails/14.jpg)
3,4
5 and 6 form a linear pair and
is an example of this…
What is definition of linear pairs?
18065 mm
56
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4,1
p: it is a triangleq: it has 3 closed sidesare the hypothesis and
conclusion for this biconditional
What is “It is a triangle if and only if it has 3 closed sides”?
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4,2
is an example of thisProperty
What is the Substitution Property of Equality?
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4,3is the missing statement and reason
What is LN ≅ MO and Definition of Congruent Segments?
NO
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4,4
What is the definition congruent angles?
is an example of this…
32 then ,32 If mm
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5,1
It is a square if and only if it has 4 sides
is a false biconditional because of this reason.
What is because the converse is false?
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5,2
is an example of using thesetwo Properties.
What are the Multiplication Property of Equality and Subtraction Property of Equality?
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5,3
is the missing statement and reason
What are AF = BF and Subtraction Property of Equality?
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5,4
is an example of this…
What is the Overlapping Angle Theorem?
P
Q
S T
U
12
SQUmPQTmmm then ,32 If