Warm-up Solve the following problems for x x – 5 = 2x

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Presentation transcript:

Warm-up Solve the following problems for x. 13 + 3x – 5 = 2x

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. A D H A piece of spaghetti is a physical model of a line segment.

Given: Plane Figure Conclusion: 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: C: CD + DR = CR

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

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

Example 3: Using the Segment Addition Postulate M is between N and O. Find NO. 27

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

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.

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 midpoint of and

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

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