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This guide explains how to measure segments on a number line, focusing on the distance between points using absolute value. It covers concepts of congruent segments, which are segments that have the same length, and introduces the congruence symbol. The Segment Addition Postulate is outlined, illustrating how to find segment lengths using known points. The importance of midpoints is explained, demonstrating how to find them in real-life scenarios, like calculating distances between locations. Step-by-step examples and diagrams assist in understanding these geometric concepts.
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Length on a Number Line • The distance between any two points is the absolute value of the ______________ of the coordinates. • Ex. Find each length. 1. DC 2. EF
Congruent Segments • Congruent segments are segments that have the same ___________. • The congruence symbol is _______. • We show two segments are congruent by drawing tick marks.
Segment Addition Postulate • If Bis between A and C, then AB + BC = AC • Ex. 1 B is between A and C; AC = 14, BC = 11.4. Find AB. (hint: draw a picture!)
Ex. 2 S is between R and T. Find RT.
Midpoints • The midpoint of a segment is the point that ______________, or divides, the segment into two congruent segments. • Use a diagram to show the midpoint.
Ex. 1 The map shows the route for a race. You are 365m from drink station R and 2km from drink station S. The first aid station is at the midpoint of the two drink stations. How far are you from the first aid station?
