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Warm up (draw each one). 1) Vertical line m intersects a horizontal plane M at point O . 2) Horizontal plane P contains two lines k and n that intersect at point A . 3) Vertical planes X and Y intersect at line AB . 4) Point P is not in plane N. 1.3 Segments, Rays, and
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Warm up (draw each one) 1) Vertical line m intersects a horizontal plane M at point O. 2) Horizontal plane Pcontains two lines k and n that intersect at point A. 3) Vertical planes X and Yintersect at line AB. 4) Point P is not in plane N.
1.3 Segments, Rays, and Distance
Segments • A line with two endpoints. • It consists of the two endpoints and those points in between. A B LABEL
Rays • A ray has one endpoint and extends out endlessly in one direction. • The endpoint (A) is always named first. LABEL B A
J A M Number Line • COORDINATE – number associated with a letter • Coordinate of M? • Coordinate of J? 7 -4
J A M Distance • The distance of a segment = length • LABEL JA = ? AM = ? 5 6
Segment Addition Postulate • If B is between Aand C, then AB + BC = AC A B C
CONGRUENCE • CONGRUENT: two objects that have the same size and shape • Congruent Segments: segments with equal lengths. 12.4 12.4
MIDPOINT Midpoint of a Segment: • is the point that divides the segment into twocongruentsegments.
BISECTOR Bisector of a segment: is a line, segment, ray, or plane that intersects the segment at its midpoint.
Find x if RA = 2x + 4, AY = 3x + 1, and RY = 30. Z R 2x + 4 A 3x + 1 Y 30 2x + 4 + 3x + 1 = 30 C 5x + 5 = 30 - 5 - 5 5x = 25 /5 /5 x = 5
PRACTICE • Page 14 • Classroom Exercises • #1 – 20