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Geometry Definitions
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Gravity
Key Concepts:
Terms in this set (31)
Point
a location that has no size
Line
Made up of infinite points
At least 2 points highlighted/defined
Goes on in each direction forever
Plane
A flat surface made up of points that extends infinitely in all directions
We cut the lines off to draw it
Co-linear points
points that are on the same line
Non co-linear points
points not on the same line
Co-planar points
points that lie on the same plane
Non-co-planar points
points that do not lie on the same plane
Lines intersect at a__________
Point
Planes intersect at a_________
Line
Segment
Has 2 endpoints
Has a definite start and end point
Ray
Part of a line
Has one endpoint
Continues without end in one direction
Ruler postulates
The points on a line can be matched one to one with the real numbers
congruent segments
segments that have the same measure
Midpoint of a Segment
Point that divides a segment into 2 congruent segments
Bisector of a segment
a line, segment, ray, or plane that intersects the segment at its midpoint
Angle
Is formed by two rays with a common endpoint
Sides
The rays of an angle
Vertex
Common endpoint of the rays
Angle Addition Postulate
For any angle, the measure of the whole is equal to the sum of the measures of its non-overlapping parts
If point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC
Protractor Postulate
Given line AB and a point O on line AB, all rays that can be drawn from O can be put into a one-to-one correspondence with the real numbers from 0 to 180.
Congruent angles
Angles with equal measure
Adjacent angles
Two angles that have a common side and a common vertex
Bisector of an angle
A ray that divides the angle into two congruent adjacent angles
Postulate 5: A line/plane/space contains at least...
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.
Postulate 6: through any 2 points there is...
Through any two points there is exactly one line
Postulate 7: through any 3 points there is ___________________, and through any three non-Colinear points there is ________________
At least one plane, exactly one plane
Postulate 8: If two points are in a plane, then the line that connects those points is _______________________
In that plane
Postulate 9: If two planes intersect, then their intersection is ____________
A line
Theorem 1-1: If two lines intersect, then they intersect in_______________
Exactly one point
Theorem 1-2: Through a line and a point not in the line there is ________________
Exactly one plane
Theorem 1-3: If two lines intersect, then exactly ______________
One point contains the lines
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