1 / 18

1.3 Segments and Their Measures

1.3 Segments and Their Measures. Objectives: Use the Segment Addition Postulate. Use the Distance Formula to find the distance between two points. Basic Vocabulary. Postulate a rule that is accepted as true without proof Theorem a rule that must be proven true. names of the points.

Download Presentation

1.3 Segments and Their Measures

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. 1.3Segments and Their Measures Objectives: Use the Segment Addition Postulate. Use the Distance Formula to find the distance between two points.

  2. Basic Vocabulary Postulate • a rule that is accepted as true without proof Theorem • a rule that must be proven true.

  3. names of thepoints coordinates of thepoints The distance between points A and B or the length of AB Postulates • Ruler Postulate A B x1 x2 AB = | x2 – x1|

  4. Postulates • Segment Addition Postulate If B is between A and C then AB + BC = AC A B C This indicates that the points are collinear.

  5. AB BC AC Postulates • Segment Addition Postulate If B is between A and C then AB + BC = AC A B C The pieces of a segment add up to the whole segment.

  6. AB BC AC Postulates • Segment Addition Postulate If A, B , and C are collinear and AB + BC = AC then B is between A and C A B C The postulate also works in reverse

  7. Example 1: E D F

  8. 9 35 Example 2: x E x D C B A

  9. 2 20 Practice 1: x 2x D C B A

  10. 425 yds 267 yds Example 3: Find the distance between Sue’s house and Jane’s house. 425 + 267 692 yds

  11. 15 feet Example 4: A truck with a trailer has a total length of 27 feet. If the trailer has a length of 15 feet, how long is the truck? 12 feet 27 – 15 27 feet

  12. y x Theorem The Distance Formula If A(x1, y1) and B(x2, y2) are points on a coordinate plane then the distance between A and B is A B C

  13. the symbol for congruent this represents a number equal to a number this represents a figure the same size and shape as another figure Definition Congruent Segments segments that have the same length B Y A X

  14. y x Example 5: Find the lengths of the segments. Are any of the segments congruent?

  15. y x Example 5: Find the lengths of the segments. Are any of the segments congruent?

  16. y x Example 5: none of the segments are congruent Find the lengths of the segments. Are any of the segments congruent?

  17. Practice 3: Find the distance between the points. A (3, 1) B (0, 4)

  18. Summary What is a postulate? Describe how to use the Segment Addition Postulate. Describe how to use the Distance Formula

More Related