1 / 11

Understanding Planes and Segment Lengths in Geometry

This lesson covers key concepts in geometry, including the intersection of planes, measuring segment lengths, and the use of postulates like the Ruler Postulate and Segment Addition Postulate. Students will learn to identify planes containing specific points, calculate distances between points using coordinates, and apply the concept of midpoints and segment bisectors. The lesson concludes with practice problems from the textbook to reinforce understanding of measuring segments and their properties.

lionel-glass
Télécharger la présentation

Understanding Planes and Segment Lengths in Geometry

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. Day Problems 9/12/12 • Name the intersection of plane AEH and plane GHE. • What plane contains points B, F, and C? • What plane contains points E, F, and D?

  2. 1.3 Measuring Segments 9/12/12 • Postulate 1.5 – Ruler Postulate • Every point on a line can be paired with a real number. • The real number that corresponds to a point is called the coordinate of the point. • Allows you to measure lengths of segments and will allow you to find the distances between points. • The distance between points A and B is the absolute value of the difference of their coordinates.

  3. Measuring Segment Lengths • What is ST? • What is SV? • What is UV? • What is TV?

  4. Measuring Segment Lengths • ST = | -4 – 8 | = | -12| = 12 • SV = |-4 – 14 | = | -18| = 18 • UV = | 10 – 14| = | -4| = 4 • TV = |8 – 14| = | -6 | = 6

  5. Postulate 1.6 Segment Addition Postulate • If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.

  6. Using the Segment Addition Postulate • If EG = 59, what are EF and FG? EF + FG = EG (8x – 14) + (4x + 1) = 59 12x – 13 = 59 12x = 72 x = 6 EF = 8(6) – 14 = 34 FG = 4(6) + 1 = 25

  7. Congruent Segments

  8. Comparing Segment Lengths

  9. The midpoint of a segment is a point that divides the segment into two congruent segments. • A point, line, ray, or other segment that intersects a segment at its midpoint is said to bisect the segment. • The point, line, ray, or segment is called a segment bisector. A M B

  10. Using the Midpoint • Q is the midpoint of PR. What are PQ, QR, and PR? • Find x. 6x – 7 = 5x + 1 x – 7 = 1 x = 8 Find PQ and QR. PQ = 6x – 7 = 6 ( 8 ) – 7 = 41 Find PR. PR = PQ + QR = 41 + 41 = 82.

  11. More Practice!!!!! • Classwork – Textbook p. 24 #7 – 21 ODD. • Homework – Textbook p. 24 #8 – 22 EVEN.

More Related