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Geometry

Geometry. SEGMENT AND ANGLE BISECTORS. Learning Outcomes. I will be able to use the midpoint formula to find the midpoint between two given endpoints I will be able to find one endpoint given the other endpoint and the midpoint

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Geometry

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  1. Geometry SEGMENT AND ANGLE BISECTORS

  2. Learning Outcomes • I will be able to use the midpoint formula to find the midpoint between two given endpoints • I will be able to find one endpoint given the other endpoint and the midpoint • I will be able to tell the difference between intersect and bisect

  3. Think-Pair-Share • Where is the middle of this segment? (1,4) (-3,-1)

  4. Think-Pair-Share • Where is the middle of this segment? (1,4) (-3,-1)

  5. How would you consistently find the middle of two numbers? Let’s use 10 and 20 as an example. • Find the average! • For example: • 10 + 20 = 30 • 30/ 2 = 15

  6. Midpoint formula • Take the average of the x’s and y’s

  7. Midpoint Formula • Where is the middle of this segment? • - (1,4) • 1 (2, 3) (- , 1 ) (-3,-1) (-3, -1)

  8. Find the midpoint • (-2, 5) and (4, 1) • , • , • (1, 3)

  9. Find the endpoint The midpoint of RP is M(2, 4). One endpoint is R(-1,7). How can I find the other endpoint?

  10. Let’s try that one more time!

  11. midpoint • The of a segment is a point that divides, or bisects, the segment into two congruent segments. • Bisects = cut in half. When drawing a midpoint, you must have congruence marks!!!

  12. Think-Pair-Share What can you bisect? • Segment? • Line? • Ray? • Plane? • Angle?

  13. Segment bisector Point M is the midpoint of segment AB C A B M D Line CD is the segment bisector A segment bisector is a segment, ray, line or plane that intersects a segment at the midpoint.

  14. Angle bisector • Ray BD bisects angle ABC D A B C

  15. Rule 2.00: The Strike Zone • The STRIKE ZONE is that area over home plate the upper limit of which is a horizontal line at the midpoint between the top of the shoulders and the top of the uniform pants, and the lower level is a line at the hollow beneath the kneecap. The Strike Zone shall be determined from the batter's stance as the batter is prepared to swing at a pitched ball.

  16. Albert Pujols is one of the best hitters in baseball.

  17. Hits: 2033 Homeruns: 439 Batting Avg: .328

  18. Ichiro is also one of the best hitters Hits: 2390 Homeruns: 93 Batting Avg: .327

  19. Height: 6’3” Weight: 230 lbs Height: 5’9” Weight: 170 lbs

  20. Who has a bigger strike zone?

  21. What do you want to know?

  22. 61.58 in ? 40.22 in 19.11in

  23. 60.23 in ? 39.8 in 18.2 in

  24. Solution 61.58 + 40.22 = 101.8 in 101.8/2 = 50.9 in 50.9-19.11 = 31.79 in

  25. Solution 60.23 + 39.8 = 100.03 in 100.03/2 = 50.015 in 50.015 – 18.2 = 31.815 in

  26. Solution • 31.79 in. for Ichiro vs. 31.815 in. for pujols

  27. Practice Find the midpoint between the two points

  28. practice

  29. practice Find ∠DEG

  30. practice Find ∠DEF

  31. practice Find x

  32. practice Find ∠ABD

  33. practice Find ∠DBC

  34. Exit Ticket • Homework • PG. 38 17-33, 37-42, 44-49, 63-66 Find ∠DEF

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