Section 1 3 Segments Rays and Distance line

Section 1 -3 Segments, Rays, and Distance

line; segment; ray;

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

common endpoint opposite

a statement accepted without proof Postulates: ________________ a statement proved with a postulate Theorems: _________________ and/or definition. _____________________

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

2 3 2 5 5

40 20 25

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

12 AB + BC = AC 4 + 8 = AC 12 = AC

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

AB + BC = AC (3 x) + (4 x + 2) = 30 7 x + 2 = 30 7 x = 28 x=4 BC = 4 x + 2 BC = 4(4) + 2 BC = 16 + 2 BC = 18

size shape congruence symbol equal • E D • F • • G lengths

divides 2 * Know the length XY = YZ

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

AC = 10 5 (3 x + 2) = (4 x + 1) 1=x x=1 5 AB = 3 x + 2 AB = 3(1) + 2 AB = 3 + 2 AB = 5

segment plane midpoint line ray

HOMEWORK: page 15 #2 -26 even