Points, Lines, and Planes
point
A ____ is a location. It has neither shape nor
size.
Named by a capital letter
Example point A
line segment
A _____ _____ is a measurable part of a line that
consists of two points, called endpoints, and all of the
points between them. The two endpoints are used to
name the segment
distance
The _____ between two points is the length of the
segment between the points.
statement
A _______ is any sentence that is either true T or false F, but not both.
deductive reasoning
Unlike inductive reasoning, which uses a specific pattern of examples or observations to make a general conclusion, ______ _______ uses general facts, rules, definitions, or properties to reach specific valid conclusions from given statements.
line
A ____ is made up of points and has no thickness or width. There is exactly one line through any two points.
congruent
If two geometric figures have exactly the same
shape and size, then they are ______.
length
Find the _____ of a line segment on a number line.
Truth value
_____ ____ is the truth or falsity of a statement.
valid
An argument is ____ if it is impossible for all
the premises, or supporting statements, of the argument to be true and for its conclusion to be false.
plane
A ___ is a flat surface made up of points that
extends infinitely in all directions. There is
exactly one plane through any three points not
on the same line.
congruent segments
Two
segments that have the same measure are
________ _________.
distance
Find the ______ between two points on the
coordinate plane
negation
If a statement is represented by p, then not p is the ______ of the statement.
perpendicular
Lines, segments, or rays that intersect at right angles are _________.
Collinear
_____ points are points
that lie on the same line.
Noncollinear points do not
lie on the same line.
betweenness of points
For any two real numbers a and b, there is a real
number n between a and b such that ᵄ < ᵅ < ᵄ. This
relationship also applies to points on a line and is
called _________ __ _______.
Inductive reasoning
_______ ______ is the process of reaching a
conclusion based on a pattern of examples.
disjunction
A compound statement using the word or is called a ________.
vertical, horizontal
The _____ and _____ lines in the
figure are perpendicular
Coplanar
_____ points are points
that lie in the same plane.
Noncoplanar points do not lie
in the same plane
same
Congruent segments have the ____
measure
conjecture
This educated guess is
also known as a ________.
compound statement
Two or more statements joined by the word and or or form a _______ _______.
intersect
Perpendicular lines _______ to form four right angles.