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Chapter 1
Honors Geometry Chapter 1
17
Mathematics
9th Grade
09/09/2010

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Term
Ruler Postulate
Definition
The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1.
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.
Term
Segment Addition Postulate
Definition
If B is between A and C, then AB + BC = AC.
Term
Angle Addition Postulate
Definition
If point B lies in the interior of Angle AOC, then the mAngle AOB + mAngle BOC = mAngle AOC. If Angle AOC is a straight angle and B is any point not on line AC, then mAngle AOB + mAngle BOC = 180.
Term
Postulate 5 (Don't call it this!)
Definition
A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane.
Term
Through any two points
Definition
there is exactly one plane.
Term
Through any three points
Definition
there is at least one plane, and through any three noncollinear points there is exactly one plane.
Term
If two points are in a plane,
Definition
then the line that contains the points is in that plane.
Term
If two planes intersect,
Definition
then their intersection is a line.
Term
If two lines intersect,
Definition
then they intersect in exactly one point.
Term
Through a line and a point not in the line
Definition
there is exactly one plane.
Term
If two lines intersect,
Definition
then exactly one plane contains the lines.
Term
Def. of Adjacent Angles
Definition
Two angles in a plane that have a common vertex and a common side but no common interior points.
Term
Def. of Angle Bisector
Definition
The ray that divides the angle into two congruent adjacent angles.
Term
Def. of Segment Bisector
Definition
A line, segment, ray or plane that intersects a segment at its midpoint.
Term
Def. of Congruence
Definition
Angles that have equal measures or segments that have equal lengths.
Term
Def. of a Midpoint
Definition
The point that divides the segment into two congruent segments.
Term
Def. of Right Angle
Definition
An angle that measures 90 degrees.
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