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Warm-up

Warm-up. Solve the following problems for x. 13 + 3x – 5 = 2x 5x – 3 = 2x + 9 14 + 2x – 7 = 4x - 3. Segments. Section 1.3. Line Segment. Slides 1-3. A line segment consists of two points called endpoints of the segment and all the points between them. H. A. D.

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Warm-up

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  1. Warm-up Solve the following problems for x. • 13 + 3x – 5 = 2x • 5x – 3 = 2x + 9 • 14 + 2x – 7 = 4x - 3

  2. Segments Section 1.3

  3. Line Segment Slides 1-3 A line segment consists of two points called endpoints of the segment and all the points between them. H A D A piece of spaghetti is a physical model of a line segment.

  4. In order for you to say that a point B is between two points A and C, all three points must lie on the same line, and AB + BC = AC. Slides 36 -39 Given: Plane Figure Conclusion:

  5. Using Segment Addition Postulate, answer the following questions: Example 1: If DT = 60, find the value of x. Then find DS and ST.

  6. Segment Addition Continued: Example 2: If EG = 100, find the value of x. Then find EF and FG.

  7. Example 3: Using the Segment Addition Postulate M is between N and O. Find NO.

  8. Example 4: Draw a picture and solve for the missing segment. B is between A and C, AC = 14 and BC = 11.4. Find. AB

  9. Example 5: Draw a picture and solve for the missing segment. Find RT if S is between R and T. RS= 2x + 7, ST = 28 and RT= 4x.

  10. Midpoint of a segment: The midpoint of a segment is the point that bisects, or divides, the segment into two congruent segments. Example: C is the midpointof and

  11. Segment bisector: Example 6: BC = 3x + 2 and CD = 5x – 10. Solve for x. What is the length of BD?

  12. Segment bisector: Example 7: AC = 5x - 16 and CF = 2x – 4. Solve for x. What is the length of AF?

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