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Geometry Chapter 2 Review

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  • A convincing argument that proceeds logically to show that a statement is true
    proof
  • Find x, then find the measurement of both angles.
    x = 30; both angles measure 114 degrees
  • What is the measure of ∠ABC?
    108°
  • The thinking process whereby observation of past patterns is used to predict future outcomes
    Inductive Reasoning
  • IF All even numbers are divisible by 2 AND 28 is even THEN 28 is divisible by 2
    Deductive Reasoning
    Inductive Reasoning
  • Lines r and s are cut by a transversal. What value of x proves r ∥ s?
    43
  • If a = b, then b = a. Name the property shown
    Symmetric property
  • If a = b, and b = c, then a = c. Name the property shown
    Transitive property
  • Two angles that share a common side, a common vertex, but no common interior points
    adjacent angles
  • Angle Q and B are...
    Corresponding Angles
  • A statement of fact that must be accepted without proof
    Postulate
  • What is the value of x?
    23
  • A pattern of logical thought whereby statements of fact lead to definite, specific conclusions
    Deductive reasoning
  • Making general observations of situations and applying them to specific situations.
    Deductive Reasoning
  • The statement following the "if" in a conditional which sets the standard for comparison
    hypothesis
  • If a = b, then a - c = b - c. Name the property shown
    Subtraction property
  • How many cookies will be on 5 plates?
    15
  • Find the next number in the sequence: 1, -1, 2, -2, 3, ___
    -3
  • For all real numbers, if a = b, then b can be replaced by a. Name the property shown
    Substitution property
  • A statement of fact derived from deductive reasoning
    Theorem
  • If angle P measures 60 degrees, what is the measure of angle C?
    120 degrees
  • For all real numbers a, a = a. Name the property shown
    Reflexive property
  • If a = b, then a(c) = b(c). Name the property shown
    Multiplication property
  • Which lines are parallel?
    Line a and Line b
  • Find a pattern in the sequence. Use the pattern to show the next two terms. 1, 3, 7, 15, 31, ___ , ___
    63,127
  • A statement written in "if-then" form which establishes a relationship between two situations
    conditional
  • Obtuse angles are greater than 90 degrees. This angle is 110 degrees, so it is obtuse.
    Deductive Reasoning
    Inductive Reasoning
  • IF Jimmy named his first child Thing1 AND his second child Thing2 THEN He will name his 3rd child Thing3
    Deductive Reasoning
    Inductive Reasoning
  • Congruent, opposite angles formed by intersecting lines that share a common vertex
    Vertical Angles
  • The final statement of an argument which follows the "then" portion of a conditional
    conclusion
  • What are the correct measures of angles 1 and 2?
    Angle 1 = 50⁰ and Angle 2 = 130⁰
  • If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon. What statement is a valid conclusion based on the argument?
    Therefore, the polygon has exactly five congruent angles.
  • The statement formed by interchanging the hypothesis and the conclusion of a conditional statement
    Converse
  • Drawing conclusions from observations, examples, or patterns
    Inductive Reasoning
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