Term
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Definition
The set of all points
Pg. 6 |
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Term
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Definition
Points all in one line
Pg. 6 |
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Term
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Definition
Points all in one plane
Pg. 6 |
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Term
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Definition
Where two figures(lines, planes, or the combination
of both) meet or cut.
The set of points that are in both figures. Pg. 6 |
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Term
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Definition
Shown by two letters(the endpoints) with a
line over it.
Constists of the endpoints and all points between
those endpoints. Pg. 11 |
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Term
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Definition
Shown by two letters(one an endpoint named first and another) with an arrow going to the right over the top.
Consists of the endpoint and all points to and paste the second letter. Pg. 11 |
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Term
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Definition
Rays that start at the same endpoint, but go
in opposite direction. Pg. 11 |
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Term
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Definition
Shown by two letters(the endpoints).
Subtract the coordinates of it endpoints. Pg. 11 |
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Term
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Definition
Statements that are accepted wihout proof
Pg. 12 |
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Term
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Definition
1. The points on a line can be paired with the real numbers in such a way that any two points can have coordinantes 0 and 1.
2. Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of their coordinates. Pg. 12 |
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Term
Segment Addition
Postulate |
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Definition
If B is between A and C, then
AB + BC = AC
PG. 12 |
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Term
Congruent and
Congruent Segments |
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Definition
Two objects that have the same size and shape.
Two segements that have equal length.
Pg. 13 |
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Term
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Definition
The point that divides the segment into two congruent segements.
Pg. 13 |
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Term
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Definition
A line, segment, ray, or plane that intersects the segment at its midpoint.
Pg. 13 |
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Term
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Definition
The figure formed by two rays that have the same endpoint.
Pg. 17 |
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Term
Sides &Vertex
of an angle |
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Definition
Sides - the two rays that form the angle
Vertex - the common endpoint of the rays that form the angle
Pg. 17 |
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Term
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Definition
Measure between o and 90
Pg. 17 |
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Term
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Definition
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Term
|
Definition
Measure between 90 and 180
Pg. 17 |
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Term
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Definition
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Term
|
Definition
On line AB in a given plane, choose any point 0 between A and B. Consider line OA and line OB and all the rays that can be drawn from o on one side of line AB. These rays can be paired with the real numbers from 0 to 180 in such a way that:
a. Line OA is paired with 0, and line OB with 180.
b. If line OB is paired with x, and line OQ with y, then m ‹ POQ = ǀx-yǀ Pg. 18 |
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Term
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Definition
If point B lines in the interior of <AOC, then
m< AOB + m< BOC = m< AOC
If < AOC is a straight angle and B is any point not on line AC, then
m< AOC + m< BOC = 180 Pg. 18 |
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Term
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Definition
Angles that have equal measures
Pg. 19 |
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Term
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Definition
Two angles in a plane that have a common vertex and a common side but no common interior points
Pg. 19 |
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Term
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Definition
The ray that divides that angle inot two congruent adjacent angles.
Pg. 19 |
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Term
Postulate 5
# of points in a line |
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Definition
A Line contains at least two points; a plane contains at least three points not all in one line; space contaoins at least four points not all in one plane.
Pg. 23 |
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Term
Postulate 6
Forming a line |
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Definition
Through any two points there is exactly one line.
Pg. 23 |
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Term
Postulate 7
# of points in a plane |
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Definition
Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane.
Pg. 23 |
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Term
Postulate 8
Lines in a plane |
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Definition
If two points are in a plane, then the line that contains the points is in that plane.
Pg. 23 |
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Term
Postulate 9
Intersecting planes |
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Definition
If two planes interest, then their intersection is a line.
Pg. 23 |
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Term
Theorem 1-1
Intersecting lines |
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Definition
If two lines intersect, then they intersect in exactly one point.
Pg. 23 |
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Term
Theorem 1-2
Forming a plane |
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Definition
Through a line and a point not in a line there is exactly one plane.
Pg. 23 |
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Term
| Theorem 1-3 Intersecting lines and planes |
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Definition
If two lines intersect, then exactly one plane contains the lines.
Pg. 23 |
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