Unit 1: Points, Lines, and Planes
A _ is a location
point
A ___ is a measurable part of a line that
consists of two points, called endpoints, and all of the
points between them.
line segment
The __ of a segment is the point halfway between the
endpoints of the segment.
midpoint
A ___ ___ is a compound statement that
consists of a premise, or hypothesis, and a conclusion,
conditional statement
__ ___
intersect to form four right
angles, intersect to form congruent
adjacent angles.
perpendicular lines
a _ is made up of points and has no thickness or width.
line
__ points are points
that lie in the same plane.
Noncoplanar points do not lie
in the same plane
Points A, B, and C are collinear. Points P, Q, and R are coplanar
Coplanar
Any segment, line, plane, or point that bisects a
segment is called a ___ ___
segment bisector.
A ___ is any sentence that is either true T or false F, but not both.
statement
two angles with measures that have a sum of 90°
Complementary Angles
A _ is a flat surface made up of points that
extends infinitely in all directions.
plane
__ points are points
that lie on the same line.
Noncollinear points do not
lie on the same line
Collinear
___ ___ is the process of reaching a
conclusion based on a pattern of examples
Inductive reasoning
___ ___ is the truth or falsity of a statement.
Statements are often represented using a letter such as p or q
Truth value
two angles with measures that have a sum of 180°
Supplementary Angles
The _ of two or more geometric figures is the
set of points they have in common
intersection
If two geometric figures have exactly the same
shape and size, then they are ___
congruent
This educated guess is also known as a ____.
conjecture
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
valid
Lines, segments, or rays that intersect at right angles are __.
perpendicular
_ is defined as a boundless three-dimensional set of
all points. Space can contain lines and planes
space
Two segments that have the same measure are __
congruent segments.
This example is called a ___, and it can be a number, a drawing, or a statement.
counterexample
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
deductive reasoning
puzzle consisting of 8 flat shapes called tans which are put together to form images?
Tangrams