Geometry Topic 1 Vocabulary

collinear points

points that lie on the same line

line

an infinite number of points on a straight path

plane

an infinite number of points and lines on a flat surface that extends in two opposite directions with no end and has no thickness

point

has a location, but no size

postulate

a statement that is accepted as true without proof

angle bisector

a ray that divides an angle into two congruent angles

construction

a geometric figure made with only a straightedge and compass

perpendicular bisector

A perpendicular line, ray, or segment that intersects a segment at its midpoint.

midpoint

the point that divides the segment into two congruent segments

Pythagorean Theorem

a²+b²=c²

sequence

an ordered list of numbers

conjecture

the formation or expression of an opinion or theory without sufficient evidence for proof

counterexample

an example that proves that a conjecture or statement is false

inductive reasoning

a sequence of thought that moves from specific facts to a general conclusion

biconditional

an "if and only if" statement

conditional

an if-then statement

hypothesis

the statement that follows "if" in a conditional statement

conclusion

the end or finish of an event or process

converse

reverses the hypothesis and conclusion

negation

the opposite of a statement

deductive reasoning

reasoning from the general to the specific

theorem

A mathematical statement which we can prove to be true

proof

a logical argument that shows a statement is true

distance formula

the distance between two points with coordinates

midpoint formula

a point that divides a segment into two congruent segments