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41 terms

Chapter 1 VPTF

Mrs. Klaus
STUDY
PLAY
undefined terms
A word that does not have a formal definition, but there is agreement about what the word means. ex: point, line, and plane.
collinear points
Points that lie on the same line.
coplanar points
Points that lie in the same plane.
defined terms
Terms that can be described using known words. ex: line segment and ray.
line segment
Part of a line that consists of two points, called endpoints, and all points on the line that are between the endpoints. Also called segment.
endpoints
The end of a line segment.
ray
Part of a line that consists of a point called an endpoint and all points on the line that extend in one direction.
opposite ray
If point C lies on line "AB" between A and B, the ray "CA" and ray "CB" are opposite rays.
intersection
The set of points that two or more geometric figures have in common.
postulate
A rule that is accepted without proof. Also called axiom
axiom
A rule that is accepted without proof. Also called postulate
coordinate
The real number that corresponds to a point on a line.
distance
Space between two points. Written as AB.
between
When three points lie on a line, you can say that one point is between the other two.
congruent segments
Line segments that have the same length.
midpoint
Point that divides a segment into two congruent segments.
segment bisector
A point, ray, line, segment, or plane that intersects a segment at its midpoint.
angle
Consists of two different rays with the same endpoint. The rays are the sides of the angle, and the endpoint is the vertex of the angle.
acute angle
An angle with measure between 0° and 90°.
right angle
An angle with measure equal to 90°.
obtuse angle
An angle with measure between 90° and 180°.
straight straight
An angle with measure equal to 180°.
congruent angles
Angles that have the same measure.
angle bisector
A ray that divides an angle into two angles that are congruent.
construction
A geometric drawing that uses a limited set of tools, usually a compass and straightedge.
complementary angles
Two angles whose measures have the sum 90°. The sum of the measures of an angle and its complement is 90°.
supplementary angles
The angles whose measures have the sum 180°. The sum of the measures of an angle and its supplement i 180°.
adjacent angles
Two angles that share a common vertex and side, but have no common interior points.
linear pair
Two adjacent angles whose non-common sides are opposite rays.
vertical angles
Two angles whose sides form two pairs of opposite rays.
polygon
A closed plane figure with the following properties. (1) It is formed by three or more line segments called sides. (2) Each side intersects exactly two sides, one at each endpoint, so that no two sides witha common endpoint are collinear.
convex polygon
A polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is non-convex or concave.
concave polygon
A polygon that is not convex.
n-gon
A polygon with n sides.
equilateral polygon
A polygon with all of its sides congruent.
equiangular polygon
A polygon with all of its interior angles congruent.
regular polygon
A polygon that has all sides and all angles congruent.
Ruler Postulate
The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinate of the point. The distance between points A and B, written as AB, is the absolute value of the difference between the coordinates of A and B. (p.9)
Segment Addition Postulate
If B is between A and C, then AB + BC = AC. If AB + BC = AC, then B is between A and C. (p.10)
Protractor Postulate
Consider ray "OB" and a point A on one side of ray "OB". The rays of the form ray "OA" can be matched one to one with the real numbers from 0 to 180. The measure of angle "AOB" is equal to the absolute value of the difference between the real numbers for ray "OA" and ray "OB". (p. 24)
Angle Addition Postulate
If P is in the interior of angle "RST", then the measure of angle "RST" equals the measure of angle "RSP" plus the measure of angle "PST". (p.25)