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Big Ideas Math Geometry Chapter 2 Reasoning and ...
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Which statement can you assume to be true
Line EG and Line BD are parellel
Line BD and line EG are perpendicular
Line AH and Line EG are perpendicular
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Is this statement True or False? Angle ACB and Angle ACD make a linear pair
False
True
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Okay!
Decide which statement CANNOT be assumed to be true.
∠JMH and ∠HMG are a linear pair
∠JMF and ∠HMG are vertical angles
∠JMF and ∠FMG are supplementary
Point M is the midpoint of line segment FH
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Okay!
Name the Property: AB + BC = AC
Angle Addition Property
Substitution Property
Transitive Property
Segment Addition Property
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The statement “If x = y, then 3x = 3y” is true because of what property?
Multiplication POE
Subtraction POE
Substitution POE
Addition POE
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This is an example of what property
Substitution
Transitive
Symmetric
Reflexive
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If two planes intersect, their intersection is a _______.
Right Angle
Point
Line
Plane
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Name the postulate described: Through points A and B, there is exactly one line l.
Line-Point Postulate
Plane-Point Postulate
Two Point postulate
Plane-Line Postulate
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A plane contains at least _______ noncollinear points.
3
2
4
1
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The statement “If BC = XY and XY = 8, then BC = 8” is true because of what property?
Symmetric Property
Addition Property of Equality
Transitive Property
Reflexive Property
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Okay!
Angles that add up to 180 degrees are?
Complementary
Supplementary
Linear Pairs
Vertical Angles
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Okay!
W = W is an example of
Reflexive Property
Transitive Property
Symmetric Property
Substitution Propertty
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Okay!
The statement “If ∠G ≅ ∠H, then ∠H ≅ ∠G” is true because of what property?
Symmetric Property
Reflexive Property
Angle Addition Postulate
Transitive Property
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Okay!
What is the Reason for [3]
Substitution Property
Subtraction Property of Equality
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Linear Pairs are
Complementary
Supplementary
Linear Pairs
Vertical Angles
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Okay!
What is the Reason for [2]
Angle Addition Postulate
Definition of Complementary Angles
Definition of Supplementary Angles
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x = y; If y = 9, then x = 9
Transitive Property
Reflexive Property
Symmetric Property
Substitution Propertty
Oops!
Okay!
Name the property of equality that the statement illustrates
Additive Inverse
Reflexive Property
Symmetric Property
Transitive Property
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Give the reason for the last statement in the proof.
Vertical Angle Congruence Thoerem
Linear Pair Postulate
Congruent Supplements Theorem
Congruent Complements Thoerem
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Which statement can you assume to be true
Angle ABC and Angle EFG are supplementary
Line AC and Line FH are the same line
Line AH and Line BD make a right angle
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Okay!
Is this statement True or False? Angle GFH is a complementary angle
False
True
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Find the measure of <y
252
108
18
72
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If 5x = 25, then x = 5 is an example of
Inductive Reasoning
Deductive Reasoning
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Give a reason for the last statement in the proof
Linear Pair Postulate
Congruent Complements Theorem
Congruent Supplements Theorem
Vertical Angles Congruence Theorem
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Okay!
What Property would you use to solve the following problem: x + 2 = 6
Division Property
Multiplication Property
Subtraction Property
Addition Property
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Okay!
Which statement can you assume to be true
Point I is not coplanar with the rest of the points
All the points are coplanar
Points A, C, and I are collinear
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Okay!
What Property would you use to solve the following problem: -8 + c = 10
Division Property
Multiplication Property
Addition Property
Subtraction Property
Oops!
Okay!
Angles that add up to 90 degrees are?
Complementary
Supplementary
Vertical Angles
Linear Pairs
Oops!
Okay!
The statement “The measure of an angle is equal to itself” is true because of what property?
Symmetric Property
Transitive Property
Addition Property of Equality
Reflexive Property
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Okay!
This is an example of what property
Symmetric
Transitive
Substitution
Reflexive
Oops!
Okay!
What is the Statement for [1]
m<2 = 135
m<1 = 135
m<1 = 45
m<2 = 45
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Okay!
What Property would you use to solve the following problem: 7x = 21
Multiplication Property
Division Property
Addition Property
Subtraction Property
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If m<2 = 40, then what is m<1 ?
70
80
60
50
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What Property would you use to solve this this problem: x = 2, 2x + 8 = 16, so 2(2) + 8 = 16
Subtraction Property
Addition Property
Substitutio
Multiplication Property
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Okay!
Determine which postulate is illustrated by the statement. AB + BC = AC
Two Point Postulate
Line-Point Postulate
Angle Addition Postulate
Segment Addition Postulate
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Okay!
Find the measure of <x
108
18
72
252
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Okay!
Find the measure of <7.
117
243
63
27
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Sam earned A's on his first 6 geometry tests, so he concludes he always will is an example of
Inductive Reasoning
Deductive Reasoning
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This is an example of what property
Reflexive
Substitution
Transitive
Symmetric
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Okay!
State the postulate illustrated by the diagram.
Plane-Point Postulate
Line Intersection Postulate
Two Point Postulate
Line-Point Postulate
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Determine which postulate is illustrated by the statement. m∠DAC = m∠DAE + m∠EAB
Angle Addition Postulate
Definition of Vertical Angles
Definition of Supplementary Angles
Segment Addition Postulate
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Okay!
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