Post on 20-Jan-2016
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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?
1,2
is an example of this Property
What is the Reflexive Property of Equality?
1,3
this is the missing reason
What is Given?
1,4
is an example of this...
What is the definition of complementary angles?
9042 mm
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”?
2,2
is an example of this Property
What is the Addition Property of Equality?
2,3
is the missing statement
What is ZX = XY + ZY?
2,4
FG + GH = FH
is an example of this…
What is the Segment Addition Postulate?
F G H
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”?
3,2
is an example of thisProperty
What is the Subtraction Property of Equality?
3,3
this is the missing statement.
What is 4s – 9 = 2s + 17
3,4
5 and 6 form a linear pair and
is an example of this…
What is definition of linear pairs?
18065 mm
56
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”?
4,2
is an example of thisProperty
What is the Substitution Property of Equality?
4,3is the missing statement and reason
What is LN ≅ MO and Definition of Congruent Segments?
NO
4,4
What is the definition congruent angles?
is an example of this…
32 then ,32 If mm
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?
5,2
is an example of using thesetwo Properties.
What are the Multiplication Property of Equality and Subtraction Property of Equality?
5,3
is the missing statement and reason
What are AF = BF and Subtraction Property of Equality?
5,4
is an example of this…
What is the Overlapping Angle Theorem?
P
Q
S T
U
12
SQUmPQTmmm then ,32 If