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Point, Line, Plane
Three Undefined Terms
 Point
 Line
 Plane
These three terms are called undefined
terms; we can only describe and create
mathematical models to represent
them.
Point
A point is described as a
location in space. A point
has no size or shape but is
often represented using a
dot.
Line
 A line is described as a straight
continuous arrangement of an infinite
number of
points. A line has an infinite length,
but no width. Arrowheads are used to
indicate
that a line extends infinitely in opposite
directions.
More about Lines
Line AB can be written using
symbols as

AB and is read as “line AB.”
Collinear points are points that
are located on the same line.
Plane
 A plane is described as a flat surface. A
plane has an infinite length and width but
no depth. A plane extends infinitely in all
directions. One model of a plane is the
surface of a still body of water. Planes are
determined by three points, but are usually
named using one italic letter located near a
corner of the plane as drawn.
Class Work
Complete Problems 1.1
and 1.3 before tomorrow.
Exit Ticket
Summarize what Point, Line,
Plane are.
Draw an example of a point,
line, and plane be sure to
name them properly.
Ray
 A ray is a portion of a line that begins with a single point
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and extends infinitely in one
direction. The endpoint of a ray is the single point where
the ray begins.
A ray is named using two capital letters, the first
representing the endpoint and
the second representing any other point on the ray. Ray AB
can be written using
symbols as
→
AB and is read as “ray AB.”
Line Segment
 A line segment is a portion of a line that includes two
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points and all of the collinear
points between the two points. The endpoints of a line
segment are the points where the line segment begins and
ends.
A line segment is named using two capital letters
representing the two endpoints of the line segment. Line
segment AB can be written using symbols as
___
AB and is read as “line segment AB.”
Congruent Line Segments
If two line segments have equal
measure, then the line segments
have the same
length. Congruent line segments
are two or more line segments of
equal measure.
1.2 All about Angles
Naming Angles
Classifying Angles
Duplicating Angles
Bisecting Angles
Naming Angles
An angle is formed by two rays that
share a common endpoint. The
angle symbol is . The sides of an
angle are the two rays. The vertex of
an angle is the common endpoint
of the two rays.
Classifying Angles
An acute angle is an
angle whose measure is
greater than 0º, but less
than 90º.
Right Angles
A right angle is an angle
whose measure is equal to
90º. A square drawn at the
vertex is used to indicate a
right angle in geometric
figures.
Obtuse Angles
An obtuse angle is an
angle whose measure
is greater than 90º,
but less than 180º.
Straight Angle/Linear Angle
A straight angle is an
angle whose measure is
equal to 180º. The sides
of a straight angle form
a line.
Congruent
As with segments, use the
congruent symbol, , between
the geometric figure
angles, and the equal symbol, ,
between references to measures
of angles.
Supplements and Complements
Two angles are
supplementary angles if
the sum of their angle
measures is equal
to 180º.
Complementary Angles
Two angles are
Complementary angles
if the sum of their
angle measures is equal
to 90º.
Perpendicular Relationships
Two lines, line segments,
or rays are perpendicular
if they intersect to form
90º angles. The
perpendicular symbol is .
Adjacent Angles
Adjacent angles are
two angles that share a
common vertex and
share a common side.
Linear Pairs
A linear pair of angles
are two adjacent angles
that have noncommon
sides that form a line.
Vertical Angles
Vertical angles are two
nonadjacent angles
that are formed by two
intersecting lines.
Class Work
Students will complete
problems 1.1, and 1.2 before
class tomorrow.
1.3 Special Angles
 Complements
 Supplements
 Midpoints
 Perpendiculars
 Perpendicular Bisectors
Supplements and Complements
Two angles are
supplementary angles if the
sum of their angle measures
is equal to 180º.
 Two angles are complementary angles if the sum of
their angle measures is equal
 to 90º.
 Two lines, line segments, or rays are perpendicular if
they intersect to
 form 90º angles. The perpendicular symbol is .
 The midpoint of a segment is a point that divides the
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segment into two congruent
segments, or two segments of equal measure.
PMQ
___
PQ has midpoint M.
A segment bisector is a line, line segment, or ray that
divides the line segment into
two line segments of equal measure, or two congruent line
segments.
A perpendicular bisector is a line, line segment, or ray that
intersects the midpoint
of a line segment at a 90 degree angle.
Adjacent Angles
 Adjacent angles are two angles that share a
common vertex and share a
 common side.
Linear Pairs
 A linear pair of angles are two adjacent angles that
have noncommon sides that
 form a line.
Vertical Angles
 Vertical angles are two nonadjacent angles that
are formed by two
 intersecting lines.
Your Assignment for the day.
 Students will complete problems 1,5,6,7 from section 3,
students will be prepared to share their answers with
the class when we meet next.