1 / 26

Lesson 1.3 Distance and Midpoints

Lesson 1.3 Distance and Midpoints. Geometry CP Mrs. Mongold. Chapter 1 Foldable Flap 2. Distance Formulas Number Line. -3. 4. P. Q. Chapter 1 Foldable Flap 2. Distance Formulas Cont… Coordinate Plane

kiral
Download Presentation

Lesson 1.3 Distance and Midpoints

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 1.3 Distance and Midpoints Geometry CP Mrs. Mongold

  2. Chapter 1 Foldable Flap 2 • Distance Formulas • Number Line -3 4 P Q

  3. Chapter 1 Foldable Flap 2 • Distance Formulas Cont… • Coordinate Plane • The distance d between two points with coordinates and

  4. Distance Examples • Number Line • Use the number line to find QR

  5. Answer The coordinates of Q and R are –6 and –3. QR = | –6 – (–3) | Distance Formula = | –3 | or 3 Simplify.

  6. Another Number Line Example • Use the number line to find AX

  7. Answer • The coordinates of A and X are -5 and 3 AX = |-5 – 3| Distance Formula AX = |-8| AX = 8

  8. More Distance Examples • Coordinate Plane • Find the distance between E and F

  9. Answer • The coordinates are E(-4, 1) and F(3, -1) • Label them

  10. Another Example • Find the distance between A and M

  11. Answer • The coordinates are A(-3, 4) and M(1, 2) • Label (-3, 4) and (1, 2), and

  12. Chapter 1 Foldable Flap 3 • Midpoint Formulas • Number Line • The coordinate of the midpoint of a segment with endpoints that have coordinates a and b is

  13. Chapter 1 Foldable Flap 3 • Coordinate Plane • The coordinates of the midpoint of a segment with endpoints that have coordinates and

  14. Midpoint Examples • The coordinates on a number line Y and O are 7 and -15 respectively. Find the coordinate of the midpoint of segment YO.

  15. Answer Coordinate of the midpoint of YO is -4

  16. More Examples • Find the coordinates of M, the midpoint of segment GH for G(8, -6) and H (-14, 12)

  17. Answers

  18. More Examples • Find the coordinates of the midpoint of segment XY if X(-2, 3) and Y(-8, -9)

  19. Answers • (-5, -3)

  20. What about working backwards? • Find the coordinates of D if E(-6, 4) is the midpoint of segment DF and F(-5, -3)

  21. Answer • Let D be • Let E be for the midpoint • Let F be • So….. The coordinates for point D are (-7, 11)

  22. More Examples • What is the measure of segment PR if Q is the midpoint of segment PR?

  23. Answer • If Q is the midpoint then segments PQ and QR are both equal to 6 – 3x • So, 2(6 – 3x) = 14x + 2 12 – 6x = 14x + 2 10 = 20x x = ½ PR = 14(1/2) + 2 = 7 + 2 = 9

  24. Last Example • What is the measure of segment AC if B is the midpoint of segment AC?

  25. Answer • 2(2a – 1) = 3a + 1 4a – 2 = 3a + 1 a = 3 AC = 3(3) + 1 AC = 10

  26. Ticket Out The Door • Find the distance and midpoint of segment AB for A(5, 12) and B(-4, 8)

More Related