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Learn about line segments, congruent segments, rays, opposite rays, angles, vertex, angle bisectors, perpendicular bisectors, skew lines, and parallel planes with examples.
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Basic Definitions G.CO.1 and G.CO.12 Objectives 1, 3, 6
Line Segment – a portion of a line consisting of 2 points and all the points between them. Names B c A c
Congruent Segments – 2 segments with the same length. N M O P
Ray– a portion of a line that starts at a point and continues forever in one direction. *Always name a ray starting with its initial point. Names B c A c
Opposite Rays– 2 collinear rays with the same endpoint and going in opposite directions. C B A
Examples E 1) • Name a segment. • Name a ray. • Name a pair of opposite rays. F B A G C D
Angles- formed by 2 rays with the same endpoint. Names B A C Vertex – common endpoint of the two rays.
Classifying Angles Right Angle Acute Angle = 90º between 0º and 90º Obtuse Angle Straight Angle Between 90º and 180º = 180º
Bisectors • Segment Bisector – divides a segment into 2 congruent segments. • Angle Bisector– divides an angle into 2 congruent angles. c A C B B A C
N M B A
Perpendicular Bisectors – a line, segment, or ray that is perpendicular (90º) and bisects a segment into 2 congruent segments.
Skew Lines– non-coplanar lines that are not parallel and do not intersect. Parallel Planes – planes that do not intersect.
Examples E G 2) a) Name a set of parallel lines. b) Name a set of parallel planes. c) Name a line that is parallel to ABC. d) Name a set of skew lines. C A H F D B
Examples L K A B F C E D G J I H