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.

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Presentation transcript:

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 Distance

Segments B 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

Number Line COORDINATE – number associated with a letter Coordinate of M? Coordinate of J? 7 -4 J A M

Distance 5 6 The distance of a segment = length LABEL JA = ? AM = ? J

Segment Addition Postulate If B is between A and 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 two congruent segments.

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. 2x + 4 3x + 1 30 Z R 2x + 4 A 3x + 1 30 Y C 2x + 4 + 3x + 1 = 30 5x + 5 = 30 - 5 - 5 5x = 25 /5 /5 x = 5

PRACTICE Page 14 Classroom Exercises #1 – 20