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Big Ideas Math Geometry Chapter 2 Reasoning and  ...

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