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Lesson 1.5

Lesson 1.5. Division of Segments and Angles. Segment Bisector. A point (or a segment ray, or line) that divides a segment into two congruent segments bisects the segment. The bisection point is called the midpoint of the segment. Examples.

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Lesson 1.5

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  1. Lesson 1.5 Division of Segments and Angles

  2. Segment Bisector • A point (or a segment ray, or line) that divides a segment into two congruent segments bisects the segment. • The bisection point is called the midpoint of the segment.

  3. Examples • Look at Examples 1, 2, and 3 on pages 28 – 29 of your textbook.

  4. Segment Trisector • Two points (or segments, rays, or lines) that divide a segment into three congruent segments trisect the segment. • The two points at which the segment are divided are called the trisection points of the segment.

  5. Examples • Look at examples 1 and 2 on page 29 of your textbook.

  6. Angle Bisector • A ray that divides an angle into two congruent angles bisects the angle. • The dividing ray is called the bisector of the angle.

  7. Examples • Bottom of page 29 of your textbook.

  8. Angle Trisector • Two rays that divide an angle into three congruent angles trisect the angle. • The two dividing rays are called trisectors of the angle.

  9. Examples • Look at the top of page 30 of your textbook.

  10. Last Example • Segment EH is divided by F and G in the ratio of 5 : 3 : 2 from left to right. If EH = 30, find FG and name the midpoint of segment EH.

  11. Homework • Pages 32 – 35 #5 – 9, 12, 18, 19, 21, 22

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