Inductive reasoning The process of reasoning that a rule or statement is true because specific cases are true
Conjecture A statement that is believed to be true
Expression A mathematical phrase that contains operations, numbers, and/or variables
Constant A value that does not change
Difference The result of subtraction
Function rule An algebraic expression that defines a function
Rate of change A ratio that compares the amount of change in the dependent variable to the amount of change in the independent variable AKA: SLOPE
Variable A symbol used to represent a quantity that can change
Coefficient A number multiplied by a variable
Formula A literal equation that states a rule for a relationship among quantities
Equation A mathematical sentence that shows two expressions are equivalent
Segment of a line A part of a line consisting of two end points and all points between them
Midpoint The point that divides a segment into two congruent segments
Congruent Having the same size and shape, denoted by *objects and shapes use congruent
Equal Having the same numeric value *measurements and distances use equal
Bisect To divide into two congruent parts
Proof An argument that uses logic to show that a conclusion is true
Postulate A statement that is accepted as true without proof. Also called an axiom.
Distance The absolute value of the difference of the coordinates of the points *a measurement, numeric
Length The distance between the two endpoints of a segment
Construction A method of creating a figure that is considered to be mathematically precise. Figures may be constructed by using a compass and straightedge, geometry software, or paper folding.
Intersect To have one or more points in common
Conditional statement A statement that can be written in the form “if p, then q,” where p is the hypothesis and q is the conclusion.
Hypothesis The part of a conditional statement following the word if.
Conclusion The part of a conditional statement following the word then.
Inverse operations Operations that undo each other
Converse The statement formed by exchanging the hypothesis and the conclusion of a conditional statement
Contrapositive The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement
Truth value A statement can have a truth value of true or false
Biconditional statement A statement that can be written in the form “p if and only if q.”
Counterexample An example that proves that a conjecture or statement is false
Negation The negation of statement p is “not p,” written as .
Logically equivalent statements Statements that have the same truth value
Deductive reasoning The process of using logic to draw conclusions
Law of Syllogism If a, then b. If b, then c. If a, then c. a→b b→c a→c
Point An undefined term in geometry, it names a location and has no size.
Line An undefined term in geometry , a line is a straight path that has no thickness and extends forever
Plane An undefined term in geometry, a flat surface that has no thickness and extends forever
Ray An undefined term in geometry , a part of a line that starts at an endpoint and extends forever in one direction
Undefined term A basic figure that is not defined in terms of other figures. *point, line, ray and plane
Endpoint A point at an end of a segment or the starting point of a ray.
Opposite rays Two rays that have a common endpoint and form a line
Collinear Points that lie on the same line
Coplanar Points that lie in the same plane
Non collinear Points that do not lie on the same line
Non coplanar Points that do not lie on the same plane
Vertex Common point of two rays that form an angle.
measure Size of an object (an angle or length)
Degrees What we measure angles in