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
What is the (Theorem 2.1) Midpoint Theorem?
If M is the midpoint of segment AB, then AM is congruent to MB.
Two statements are connected with an 'AND'
conjunction
What is the (Theorem 2.8) Vertical Angle Theorem?
If two angles are vertical angles, then they are congruent.
Hypotheses followed by a conclusion. it is also called a conditional statement
If-Then statement
it is exchanging the hypothesis and conclusion of a conditional statement and negating both hypothesis and conclusion.
contrapositive
It is when both the hypothesis and conclusion are negated
inverse
It is a method used to present a logical argument using a table with two columns.
two-column proof
What is the (Postulate 2.9) Segment Addition Postulate?
point B is between A and C if and only if AB + BC =AC
It is a statement involving an "OR"
disjunction
It is a special kind of example that disproves a statement or proposition.
counterexample
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
It is the process uses logic to draw conclusions based on previously accepted facts or premises.
deductive reasoning
it is a sentence that is either true or false. This is also sometimes called a proposition in mathematics.
statement
it is created when the hypothesis and conclusion are reversed.
converse
It is coming to a conclusion after specific observations
Inductive reasoning
What is the (Theorem 2.3) Supplement Theorem?
If two angles form a linear pair, then they are supplementary angles
It is a mathematical statement which appears to be true, but has not been formally proven.
conjecture
it is the opposite of a given mathematical statement
negation
it is defined as a statement that can be proved to be true based on known and proved facts
theorem
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
it is a table whose columns are statements, and whose rows are possible scenarios.
truth table
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