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1.3 Measuring Segments and Angles. Postulate 1-5Ruler Postulate The distance between any two points is the absolute value of the difference of the corresponding.

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Presentation on theme: "1.3 Measuring Segments and Angles. Postulate 1-5Ruler Postulate The distance between any two points is the absolute value of the difference of the corresponding."— Presentation transcript:

1 1.3 Measuring Segments and Angles

2 Postulate 1-5Ruler Postulate The distance between any two points is the absolute value of the difference of the corresponding numbers (on a number line or ruler) Congruent Segments: two segments with the same length Congruent Symbol:

3 Postulate 1-6Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC A B C

4 Using the Segment Addition Postulate If DT = 60, find the value of x. Then find DS and ST. So if… and Then… DST 2x - 83x - 12

5 Using the Segment Addition Postulate If EG = 100, find the value of x. Then find EF and FG. EFG 4x - 202x + 30

6 Midpoint: a point that divides the segment into two equal parts ABC B is the midpoint, so AB = BC Note: any point line or ray that goes through the midpoint of a segment is called a segment bisector

7 Finding Lengths C is the midpoint of AB. Find AC, CB, and AB. A CB 2x + 1 3x – 4

8 Z is the midpoint of XY, and XY = 27. Find XZ. Meaning Z is HALF the distance of XY so… X ZY 27


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