# Shared Flashcard Set

Geometry
Semester vocab
41
Mathematics
12/14/2015

## Additional Mathematics Flashcards

Term
 vertex
Definition
 is the endpoint of the rays that form an angle
Term
 contrapositive
Definition
 negates both the hypothesis and the conclusion of the converse
Term
 plane
Definition
 is represented by a flat surface that extends without end and has no thickness
Term
 angle
Definition
 is formed by two rays with the same endpoint
Term
 converse
Definition
 exchanges the hypothesis and the conclusion
Term
 conditional
Definition
 an if-then statement
Term
 negation of a statement
Definition
 the opposite of the statement
Term
 hypothesis
Definition
 the part following if
Term
 conclusion
Definition
 the part following then
Term
 postulate
Definition
 is an accepted statement of fact
Term
 counterexample
Definition
 an example that shows that a conjecture is incorrect
Term
 vertical angles
Definition
 two angles whose sides are opposite rays
Term
 coordinate
Definition
 the real number that corresponds to a point
Term
 equivalent statements
Definition
 have the same truth value
Term
 ray
Definition
 is part of a line that consists of one endpoint and all the points of the line on one side of the endpoint
Term
 truth value
Definition
 is either true or false
Term
 linear pair
Definition
 a pair of adjacent angles whose noncommon sides are opposite rays.
Term
 colinear
Definition
 points that are on the same line
Term
 supplementary angles
Definition
 two angles whose measures have a sum of 180.
Term
 line
Definition
 is represented by a straight path of points that extends in two opposite directions without end and has no thickness
Term
Definition
 two coplanar angles with a common side, a common vertex , and no common interior points.
Term
 conjecture
Definition
 a conclusion you reach using inductive reasoning
Term
 inductive reasoning
Definition
 reasoning based on patterns you observe
Term
 line segment
Definition
 is part of the line that consists of two endpoints and all the points between them
Term
 inverse
Definition
 negates both the hypothesis and conclusion of the conditional
Term
 point
Definition
 indicates a location and has no size
Term
 two column proof
Definition
 lists each statement on the left. The justification, or the reason for each statement, is on the right.
Term
 auxiliary line
Definition
 a line that you add to a diagram to help explain relationships in proofs
Term
 skew lines
Definition
 noncoplanar; they are not parallel and do not intersect
Term
 biconditional statement
Definition
 a single true statement that combines a true conditional and its true converse.
Term
 deductive reasoning
Definition
 the process of reasoning logically from given statements or facts to a conclusion.
Term
 corresponding angles
Definition
 lie on the same side of the transversal t and in corresponding positions
Term
 parallel planes
Definition
 planes that do not intersect
Term
 same-side interior angles
Definition
 interior angles that lie on the same side of the transversal
Term
 alternate interior angles
Definition
 nonadjacent interior angles that lie on opposite sides of the transversal
Term
 proof
Definition
 a convincing argument that uses deductive reasoning.
Term
 parallel lines
Definition
 coplanar lines that do not intersect
Term
 alternate exterior angles
Definition
 nonadjacent exterior angles that lie on opposite sides of the transversal
Term
 transversal
Definition
 a line that intersects two or more coplanar lines at distinct points
Term
 exterior angle of a polygon
Definition
 an angle formed by a side and an extension of an adjacent side
Term
 Law of Syllogism
Definition
 allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement.
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