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Geometry Chapter 2 Vocabulary

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  • It is a special kind of example that disproves a statement or proposition.
    counterexample
  • it is defined as a statement that can be proved to be true based on known and proved facts
    theorem
  • It is the process uses logic to draw conclusions based on previously accepted facts or premises.
    deductive reasoning
  • it is created when the hypothesis and conclusion are reversed.
    converse
  • it is an obvious geometric truth that is accepted without proof.
    postulate
  • It is the attribute of a proposition as to whether the proposition is true or false
    truth value
  • it is a sentence that is either true or false. This is also sometimes called a proposition in mathematics.
    statement
  • it is the opposite of a given mathematical statement
    negation
  • It is a statement involving an "OR"
    disjunction
  • What is the (Theorem 2.3) Supplement Theorem?
    If two angles form a linear pair, then they are supplementary angles
  • Two statements are connected with an 'AND'
    conjunction
  • It is a combination of two conditional statements, “if two line segments are congruent then they are of equal length” and “if two line segments are of equal length then they are congruent”. it is true if and only if both the co
    biconditional
  • Hypotheses followed by a conclusion. it is also called a conditional statement
    If-Then statement
  • It is coming to a conclusion after specific observations
    Inductive reasoning
  • It is when both the hypothesis and conclusion are negated
    inverse
  • it is a table whose columns are statements, and whose rows are possible scenarios.
    truth table
  • It is a mathematical statement which appears to be true, but has not been formally proven.
    conjecture
  • What is the (Postulate 2.9) Segment Addition Postulate?
    point B is between A and C if and only if AB + BC =AC
  • What is the (Theorem 2.1) Midpoint Theorem?
    If M is the midpoint of segment AB, then AM is congruent to MB.
  • What is the (Theorem 2.4) Complement Theorem?
    If the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles.
  • It is one type of geometric proof (a series of logical statements proving a mathematical concept true) written in paragraph form.
    paragraph proof
  • What is the (Theorem 2.8) Vertical Angle Theorem?
    If two angles are vertical angles, then they are congruent.
  • It is a method used to present a logical argument using a table with two columns.
    two-column proof
  • it is exchanging the hypothesis and conclusion of a conditional statement and negating both hypothesis and conclusion.
    contrapositive