Section 1-3 Segments, Rays, and Distance. line; segment; ray;

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Presentation transcript:

Section 1-3 Segments, Rays, and Distance

line; segment; ray;

Ray: ______________________________________ __________________________________________ Segment: __________________________________ __________________________________________ line that has a definite starting point (called an endpoint) that goes on forever in one direction part of a line with definite beginning and end. **can be measured

common endpoint opposite

Postulates: ________________________________ Theorems: _________________________________ __________________________________________ a statement accepted without proof a statement proved with a postulate and/or definition.

Length of a segment: Ruler Postulate: - measure of a segment - named by two capital letters with no symbol on top. - always positive - used to find the difference between two points. - take the absolute value of the difference between the coordinates.

Segment Addition Postulate: If B is between A & C, then AB + BC = _____. AC little segment + little segment = big segment

AB + BC = AC = AC 12 = AC 12

AB + BC = AC (2x) + (x + 7) = 16 3x + 7 = 16 3x = 9 x = 3

AB + BC = AC (3x) + (4x + 2) = 30 7x + 2 = 30 7x = 28 x = 4 BC = 4x + 2 BC = 4(4) + 2 BC = BC = 18

sizeshape congruence symbol equallengths E D F G

divides 2 XY = YZ * Know the length

AB + BC = AC (4x) + (4x) = 32 8x = 32 x = 4 4x 32

(3x + 2) = (4x + 1) 1 = x x = 1 AB = 3x + 2 AB = 3(1) + 2 AB = AB = AC = 10

line segment ray plane midpoint

HOMEWORK: page 15 #2-26 even