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SECTION 2.1 Segment Bisectors

SECTION 2.1 Segment Bisectors. LEARNING TARGETS: I will be able to use the Midpoint Formula. I will be able to identify segment bisectors and find segment lengths. VOCBAULARY Midpoint, Bisect, Segment Bisector. What’s the Chapter About?. Analyzing segment bisectors and angle bisectors.

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SECTION 2.1 Segment Bisectors

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  1. SECTION 2.1Segment Bisectors LEARNING TARGETS: I will be able to use the Midpoint Formula. I will be able to identify segment bisectors and find segment lengths. VOCBAULARY Midpoint, Bisect, Segment Bisector

  2. What’s the Chapter About? • Analyzing segment bisectors and angle bisectors. • Identifying complementary angles, supplementary angles, vertical angles, and linear pairs. • Using properties of equality and congruence.

  3. Essential Questions • How do you identify special angle and segment relationships? • How would you describe the relationship between equality and congruence? • How are conditional statements necessary to logical reasoning?

  4. Chapter Readiness Quiz

  5. Geo-Activity

  6. Geo-Activity

  7. Geo-Activity

  8. Geo-Activity

  9. Midpoint • MIDPOINT: • The point on a segment that divides the segment into two congruent segments.\ • Point M is the midpoint below: A M B

  10. Segment Bisector • SEGMENT BISECTOR: • A segment, ray, line, or plane that intersects a segment at its midpoint. • To bisect a segment means to divide the segment into two congruent segments.

  11. Example (Notes) • K is the midpoint of FG. Find FK and KG. FK = KG =

  12. Example (Textbook)

  13. Example (Notes) 2. M is the midpoint of JL. JM = 7. Find ML and JL. ML = JL =

  14. Example (Textbook) PS = RS =

  15. Example (Notes) • Line s is a segment bisector of FH. Find each value of x.

  16. Midpoint Formula • The Midpoint Formula: • The coordinates of the midpoint of a segment are the averages of the x-coordinates and y-coordinates of the endpoints. • The midpoint of the segment joining A(x1, y1) and B(x2, y2) is…

  17. More Midpoint Formula

  18. Example (Notes) • Sketch segment GH. • Then find the midpoint of GH using the Midpoint Formula.

  19. Example (Notes) • Sketch segment GH. • Then find the midpoint of GH using the Midpoint Formula.

  20. Example (Notes) Map of City

  21. Cooperative Learning • Midpoint Formula Worksheet

  22. HOMEWORK • Section 2.1 Assignment • Page 56 #11-32, 36-39, and 42-45 • Due Tuesday, 10/18

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