A type of reasoning that reaches conclusions based on a pattern of specific examples or past events.
A flat surface that has no thickness. Contains many lines and extends without end in the directions of its lines.
Postulate 1.2 "If two lines intersect..."
If two lines intersect, then they intersect at exactly one point.
Postulate 1.3 "If two planes intersect..."
If two planes intersect, then they intersect in exactly one line.
Postulate 1.4 "Through any three..."
Through any three noncollinear points there is exactly one plane.
The part of a line consisting of two points, called endpoints and all the points between them.
The part of a line consisting of one endpoint and all the points of the line on one side of the endpoint.
The points of a line can be put into a one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.
The distance and direction from the origin of a number line. The coordinates of a point on a coordinate plane are in the form where x is the x-coordinate and y is the y-coordinate.
Segment Addition Postulate
If three points, A, B, and C are collinear and B is between A and C, then AB + BC = AC.
Let ray OA and ray OB be opposite rays in a plane. Ray OA, ray OB, and all rays with endpoint O that can be drawn on one side of line AB can be paired with the real numbers from 0 to 180 so that:
a. ray OA is paired with 0 and ray OB is paired with 180.
b. If ray OC is paired with x and ray ODis paired with y, then the measure of angle COD = |x-y|.
Formed by two rays with the same endpoint. The rays are the sides of the angle and with the common endpoint is the vertex of the angle.
Two coplanar angles that have a common side and a common vertex but no common interior points
A line, segment, or ray that is perpendicular to the segment at its midpoint.