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1.3 Measuring Segments and Angles

Practice problems on Segment Addition Postulate, Midpoint concept, and calculating segment lengths. Learn how to apply segment addition to find missing values and bisect segments.

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1.3 Measuring Segments and Angles

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  1. 1.3 Measuring Segments and Angles

  2. Postulate 1-5 Ruler 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 1-6 Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC C B A

  4. Using the Segment Addition Postulate If DT = 60, find the value of x. Then find DS and ST. So if… and Then… 2x - 8 3x - 12 D S T

  5. Using the Segment Addition Postulate If EG = 100, find the value of x. Then find EF and FG. 4x - 20 2x + 30 E F G

  6. Midpoint: a point that divides the segment into two equal parts A B C 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. 3x – 4 2x + 1 A C B

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

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