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Chapter 1 Geo. Terms

Chapter 1, Geometry Terms

A _____ has no dimension. It is represented by a dot. Point
A _____ has one dimension. It is represented by a _____ with 2 arrowheads, without end. Through any two Point, there is one _____. Line
A ____ has 2 dimensions, Represented by shape that looks like a floor or wall, through any 3 points. Not on the same line, there is exactly one _____. Plane
the set of all possible points; made up of infinite planes Space
Three or more points that lie on the same straight line. Collinear
3 or more points not on a line. Non Collier
within the same plane Coplanar
points that are outside or undefined of the same plane Noncoplanar
line ____; the set of points consisting of two distinct points & all in between them; Segment
a one-dimensional figure that consists of one endpoint A, one point B, all of the points on AB, and all points for which B is between them, written -->AB Ray
two rays with a common endpoint that form a line Opposite Rays
a point at which a line segment or ray ends End Point
congruent line segments are segments with the same measure (lengths) Congruent Segments
the point M of --AB where AM=AB x1+x2/2, y1+y2/2 Midpoint
The set of points that are in both figures. Intersection of Figures
two or more coplaner lines that have no points in common, do not intersect Parallel Lines
planes that have no points in common Parallel Planes
non-coplanar lines that don't intersect (makes a 3D figure) Skew lines
A line, ray or segment which cuts another line segment into two equal parts segment bisector
stated that if B is between A and C, then AB+BC=AC. The converse is also similar. If AB+BC=AC, then B is between A and C. Segment Addition Postulate
d=sq root of (x2-x1)2 + (y2-y1)2 Distance Formula
the union of 2 rays that have the same endpoints;measured in degrees or radians. Angle
angle who measure is less than 90, more than 0 acute
angle= 90' right
angle, greater than 90, less than 180' obtuse
states that if a point S lies in the interior of <PQR, then <PQS + <SQR = <PQR Angle Addition Postulate
have the same angle in terms of degrees 2<s are ~= if they have the same measure congruent angles
division of something into two equal or congruent parts, usually by a line, termed, bisector. A ray that divides an < into 2 ~= <s Angle bisector
2 non-straight and zero angles that have a common side in the interior of the angle formed by the non common sides Adjacent Angles
2 angles whose sum measure 90' Complementary Angles
2 angles whose sum equal 180' Supplementary Angles
2 supplementary adjacent angles whose noncommon sides form a line. Linear Pairs
2 angles that share a common vertex, whose sides forma line Vertical Angles
if two adjacent angles unshared sides form a straight angle, then they are a linear pair, if two angles form a linear pair; supplementary Linear Pair Postulate
Theorum: Veritcal Angles are Congruent