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Geometry
Including Segment Addition Postulate
34
Mathematics
10th Grade
09/10/2007

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Term
Point
Definition
Location in Space

M

.M
Term
Line
Definition
Series of all points continuing infinitely in opposite directions.
Term
Plane
Definition
Flat Surface with no thinkness
Term
Collinear
Definition
exists on the same line
Term
coplanar
Definition
exists on the same plane
Term
Space
Definition
Set of all points
Term
Postulate
Definition
accepted statement of fact
Term
P1-1
Definition
Through any 2 points there is exactly 1 line.
Term
P1-2
Definition
If two lines intersect then they intersect at exactly one point.
Term
P1-3
Definition
If two planes intersect, then they intersect at exactly 1 line.
Term
P1-4
Definition
Through any three noncolinear points there is exactly one plane.
Term
segment
Definition
series of all points continuing in opposite directions between two inclusive end points
Term
ray
Definition
series of all points continuing in opposite directions from one inclusive endpoint
Term
opposite ray
Definition
colinear rays with a common endpoint (can create an angle)
Term
parallel
Definition
coplanar lines that will never intersect
Term
P1-6 Segment Addition Postulate
Definition
If three points A,B,C are colinear and B is between A and C then AB + BC = AC.
Term
Congruent
Definition
Having equal Measure
Term
Midpoint of a Segment
Definition
point that divides a segment into two congruent segments
Term
Bisector
Definition
Point, Line, Segment or a ray that divides a segment into two congruent segments.
Term
Angle
Definition
formed by two rays with the same endpoint

e.g. opposite rays form an angle
Term
vertex
Definition
common endpoint

e.g. you can name an angle by its vertex only when no other angles are present
Term
acute
Definition
an angles whose measure is 90>x>0
Term
right
Definition
an angle whose measure is 90
Term
obtuse
Definition
an angle whose measure is 90
Term
straight
Definition
an angle whose measure is 180 degrees
Term
P1-7 Protractor postulate
Definition
similar to ruler postulate
Term
P1-8 AAP Angle Addition Postulate
Definition
If B is in the interior of Angle AOC then measure AOB plus m
Term
Perpendicular Bisector (of a segment)
Definition
a line, segment, or ray that is perpendicular to a segment at its midpoint
Term
Perpendicular Lines
Definition
two lines that intersect to form right angles
Term
Angle Bisector
Definition
ray that divides an angle into two congruent, coplanar angles and has its endpoint at the vertex
Term
Distance Formula
Definition
pic
Term
midpoint formula
Definition
pic
Term
P1-9
Definition
If two figures are congruent then they have equal areas
Term
P1-10
Definition
The area of a figure is equal to the sum of the area of its non overlapping parts
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