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Definition
a location in space (no size)
*labeled using capital letters |
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Definition
made of points; extends in two directions without end.
*contains at least two points
*labeled using a single lowercase letter |
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Definition
an endless flat surface
*contains at least 3 noncollinear points
*sometimes labeled using one capital letter
*usually labeled using 3 or more points |
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Definition
the set of all points
*contains at least 4 noncoplanar points |
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Definition
| points that lie on the same line |
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Definition
| points that all lie in one plane |
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Definition
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Term
| Intersection of Two Figures |
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Definition
| teh set of points that are in both figures |
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Definition
| two points on a line and all points between them. The two points are called the endpoints |
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Term
Ruler Postulate
1. The points on a line can be paired with the real numbers in such a way that...
2. Once a coordinate system has been chosen in this way,... |
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Definition
1. ...any two points can have coordinates 0 and 1.
2. ...the distance between any two points equals the absolute value of the difference of their coordinates. |
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Segment Addition Postulate
If B is between A and C, then... |
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Definition
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Definition
| two objects that have the same size and shape |
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Definition
| segments that have equal lengths |
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Definition
| the point that divides teh segment into two congruent segments |
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Definition
| a line, segment, ray, or plane that intersects the segment at it's midpoint |
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Definition
| the figure formed by two rays that have the same endpoint |
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Definition
| the commonn endpoint of two sides |
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Term
Angle Addition Postulate
If point B lies in the interior of <AOC, then...
and
If <AOC is a straight angle and B is any point not on AC, then... |
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Definition
...then m<AOC + m<BOC =m<AOC
and
then... m<AOB + m<BOC =180
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Definition
| angles that have equal measures |
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Definition
| two angles in a plane that have a common vertex and a common side, but no common interior points |
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Definition
| teh ray that divides the angle into two congruent adjacent angles |
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Term
Postulate
A line contains at least...
a plane contains at least...
space contains... |
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Definition
Postulate
...at least two points.
...at least three points not all in one line.
...at least four points not all in one plane. |
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Postulate
through any two points there is... |
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Definition
Postulate
...there is at least one line |
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Postulate
Through any three points there is... ,
and through any three noncolinear points... |
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Definition
Postulate
...there is at least on plane
...there is exactly one plane |
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Postulate
If two points are in a plane, then... |
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Definition
Postulate
...then the line that contains the points is in that plane. |
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Postulate
If two planes intersect,... |
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Definition
Postulate
...then their intersection is a line. |
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Theorem
If two lines intersect, then... |
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Definition
Theorem
...then they intersect in exactly one point. |
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Theorem
Through a line and a point not in the line... |
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Definition
Theorem
...there is exactly one plane. |
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Term
Theorem
If two lines intersect, then... |
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Definition
Theorem
...then exactly one plane contains the lines. |
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