Point
An exact location, marked by a dot. Signified by a capital letter.
Line
Set of (two) points that extend forever in opposite directions. Every line has an infinite number of points.
Colinear
On the same line
Non-collinear
Not on the same line… (duh)
Segment
Part of line with an exact length
Ray
Part of a line that starts at a point & goes forever in one direction.
Midpoint
Exact middle of two other points - can only be a midpoint if the two segments are equal. Must be colinear.
Opposite rays
Fancy term for a line - start at the same point, go in opposite directions.
Intersect
Connect, cross, something in common.
Plane
a flat surface with infinite length and width, no depth. Defined by 3 noncollinear points, or a capital letter.
Coplanar points
On the same plane
Noncoplanar
boy I sure wonder what this means >_<….
Points that are not on the same plane.
Between
A point that is between two others - NOT THE MIDPOINT.
Segment + Angle Addition Postulate
Sum of parts is equal to the whole.
Distance
Length between two points, cannot be negative.
Distance formula
d = square root of (x1-x2) squared + (y1-y2) squared
Midpoint formula
(x1+x2/2), (y1+y2/2)
Acute
Less than 90 degrees.
Obtuse
More than 90 degrees
Right angle
exactly 90 degrees
Straight angle
Exactly 180 degrees
(can also be called a line, or opposite rays)
Naming an angle
Using the symbol, by the named points (point, vertex, point), by the vertex only, by a number inside of the angle.
Adjacent Angles
Share a side / ray
Angle Bisector
Cutting the angle in two, EQUALLY. Cannot be a bisector if not equal.