1 / 16

Section 1-2: Points, Lines, and Planes

Section 1-2: Points, Lines, and Planes. Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems. Essential Questions. 1.) How do you identify and model points, lines, and planes?

fletcher-kent
Download Presentation

Section 1-2: Points, Lines, and Planes

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. Section 1-2: Points, Lines, and Planes Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems

  2. Essential Questions • 1.) How do you identify and model points, lines, and planes? • 2.) How are coplanar points, intersecting lines, and planes identified? • 3.) How are the basic postulates and theorems about points, lines, and planes used?

  3. Section 1-1 Homework • P 7 (25- 39) • 25 – 28) answers vary • 29.) 75 30) 40 • 31.) 31, 43 32.) 10, 13 • 33.) .0001, .00001 34.) 201, 202 • 35.) 63, 127 36.) 31/32, 63/64 • 37.) J, S 38) CA, CO 39) B, C

  4. Three Undefined Terms • Point • Line • Plane

  5. space • the set of all points

  6. collinear points • points all in one line

  7. coplanar points • points all in one plane

  8. intersection of two figures • the set of points that are in both figures

  9. postulates (or axioms) • statements accepted without proof

  10. theorems statements that have been proven

  11. 5 Basic Postulates • 1.) A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane. • 2.) Through any two points there is exactly one line. • 3.) Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane. • 4.) If two points are in a plane, then the line that contains is in that plane. • 5.) If two planes intersect, then intersection is a line.

  12. 3 Basic Theorems • 1.) If two lines intersect, then they intersect in exactly one point. • 2.) Through a line and a point not in the line there is exactly one plane. • 3.) If two lines intersect, then exactly one plane contains the line.

  13. Examples, p 13 (1-9 odd) • 1.) A, D, E 3.) B, C, F • 5.) F, B, D 7.) G, F, C • 9.) Name line m in three other ways. • Do p 13 (2-10 even)

  14. P 14 (11 - 43 odds) 11.) the bottom 13.) the front 15.) the left side 17.) Planes QRS and RSW 19.) Planes XWV and UVR 21.) QU 23.) XT 25.) R, V, W 27.) U, X, S 29.) T, V, R 31.) plane UVW 33.) plane TUX 35.) point Q with V, W, S 37.) point W with X, V, R 39.) S, U, V, Y 41.) X, S, V, U 43.) S, V, C, Y

  15. With partners p 14 (12 – 42 even) • Discuss always, sometimes or never questions • Review counterexample • Together p 15 (60 – 65 all) • Independent Practice: p 16 (85-89 all)

  16. Homework • Textbook: p 9 (56 – 59 all) • Workbook: Practice 1-2

More Related