1 / 26

Chapter 1.3

Chapter 1.3. Distance and Measurement. Definition. Distance (between two points)- the length of the segment with those points as its endpoints. Concept. Find Distance on a Number Line. Use the number line to find QR. The coordinates of Q and R are –6 and –3.

amena-hanson
Download Presentation

Chapter 1.3

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. Chapter 1.3 Distance and Measurement

  2. Definition Distance(between two points)- the length of the segment with those points as its endpoints.

  3. Concept

  4. Find Distance on a Number Line Use the number line to find QR. The coordinates of Q and R are –6 and –3. QR = | –6 – (–3) | Distance Formula = | –3 | or 3 Simplify. Answer: 3

  5. Use the number line to find AX. A. 2 B. 8 C. –2 D. –8

  6. Concept

  7. (x1, y1) = (–4, 1) and (x2, y2) = (3, –1) Find Distance on a Coordinate Plane Find the distance between E(–4, 1) and F(3, –1).

  8. Find Distance on a Coordinate Plane CheckGraph the ordered pairs and check by using the Pythagorean Theorem.

  9. . Find Distance on a Coordinate Plane

  10. Find the distance between A(-3, 8) and B(-5, 2)

  11. A.4 B. C. D. Find the distance between A(–3, 4) and M(1, 2).

  12. Concept

  13. Example 3 Find Midpoint on a Number Line DECORATING Marco places a couch so that its end is perpendicular and 2.5 feet away from the wall. The couch is 90” wide. How far is the midpoint of the couch back from the wall in feet? First we must convert 90 inches to 7.5 feet. The coordinates of the endpoints of the couch are 2.5 and 10. Let M be the midpoint of the couch. Midpoint Formula x1 = 2.5, x2 = 10

  14. Example 3 The length of a drag racing strip is a quarter of a mile long. How many feet from the finish line is the midpoint of the racing strip? A. 330 ft B. 660 ft C. 990 ft D. 1320 ft

  15. Concept

  16. Find Midpoint in Coordinate Plane Answer: (–3, 3)

  17. A. (–10, –6) B. (–5, –3) C. (6, 12) D. (–6, –12)

  18. (x2, y2) = (–5, –3) Find the Coordinates of an Endpoint Let D be (x1, y1) and F be (x2, y2) in the Midpoint Formula. Write two equations to find the coordinates of D.

  19. Midpoint Formula Midpoint Formula Find the Coordinates of an Endpoint Answer: The coordinates of D are (–7, 11).

  20. Find the coordinates of the missing endpoint if Y is the midpoint of XZ: X(-4, 2) and Y(6, -1)

  21. Find the coordinates ofRifN (8, –3) is the midpointofRSandShas coordinates (–1, 5). A. (3.5, 1) B. (–10, 13) C. (15, –1) D. (17, –11)

  22. Segment Bisector Any segment, line, or plane that intersects a segment at its midpoint is called a segment bisector. In the figure, M is the midpoint of line AB. Line XY is the segment bisector of line AB. X M Y

  23. UnderstandYou know that Q is the midpoint of PR, and the figure gives algebraic measures for QR and PR. You are asked to find the measure of PR. Use Algebra to Find Measures

  24. Suppose S is the midpoint of RT. RS = 3x – 4, ST = 5x – 26, Find the measure of RT.

  25. A. 1 B. 10 C. 5 D. 3

  26. Try it! Pg. 30 #1-12

More Related