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Document related concepts
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Transcript 
The mathematics of the
properties,
measurement, and
relationships of points,
lines, angles, surfaces,
and solids.
Geometry
An unproven
statement that is
based on
observations
Conjecture
A process that includes
looking for patterns
and making
conjectures.
Inductive
Reasoning
An example that shows
a conjecture is false.
Counterexample
Point, line, and plane.
Undefined
Geometry Terms
Has no dimension and
is represented by a
small dot.
Point
Extends in two dimension
and extends in all
direction without end.
Plane
Exists in one
dimension and extends
in opposite directions
without end.
Line
Points that lie on the
same line.
Collinear Points
Points that lie in the
same plane.
Coplanar Points
Part of a line that
consists of two
endpoints and all
points on the line that
are between the
endpoints.
Line Segment
Part of a line that
consists of an initial
point and all the points
in the line from that
point extending in one
direction.
Ray
Two rays with the
same initial point that
form a line
Opposite Rays
To have one or more
points in common.
Intersect
Geometry rules that
are excepted as true
without proof.
Postulates
States that the
distance between two
points is always
positive.
Ruler Postulate
If B is between points A
and C then AB + BC =
AC
Segment Addition
Postulate
d=
2
(x2-x1)
2
+(y2-y1)
Distance Formula
Segments that have the
same length
Congruent
Segments
Consists of two different
rays that have the same
initial point called the
vertex.
Angle
States that the measure
of an angle must be
positive.
Protractor
Postulate
If P is in the interior of
<RST, then m<RSP +
<PST = <RST.
Angle Addition
Postulate
An angle whose
measure is between
0 and 90
__________
Acute Angle
An angle whose
measure is between
90 and 180
__________
Obtuse Angle
An angle whose
measure90
is
Right Angle
An angle whose
measure
is
180
Straight Angle
Two angles that share a
common vertex and
side.
Adjacent Angles
Point that divides a line
segment into two
congruent segments.
Midpoint
To have the same
measure.
Congruent
To divide in two equal
pieces.
Bisect
A segment, ray, line or
plane that intersects a
segment at its midpoint.
Segment Bisector
A geometric drawing
that uses only a
compass and straight
edge.
Construction
A geometric tool used
for drawing.
Compass
A ray that divides an
angle into two adjacent
angles that are
congruent.
Angle Bisector
Two angles whose
sides form two pairs of
opposite rays.
Vertical Angles
Two adjacent angles
whose noncommon
sides are opposite rays.
Linear Pair
Two angles whose sum
of their measures is 90
degrees.
Complementary
Angles
Two angles whose sum
of their measures is 180
degrees.
Supplementary
Angles

x1 + x2 y1 + y2
,
2
2

Midpoint Formula
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