1 / 19

Section 1.3 Points, Lines, and Planes

VOCABULARY: Undefined Term Point, Line, Plane Postulate Collinear, Coplanar Segment Ray Endpoint. Section 1.3 Points, Lines, and Planes. LEARNING TARGETS: Students will be able to identify and draw points, lines, planes, rays, and segments.

shima
Download Presentation

Section 1.3 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. VOCABULARY: • Undefined Term • Point, Line, Plane • Postulate • Collinear, Coplanar • Segment • Ray • Endpoint Section 1.3Points, Lines, and Planes LEARNING TARGETS: Students will be able to identify and draw points, lines, planes, rays, and segments. Students will be able to determine if points are collinear or coplanar.

  2. INTRODUCTION • The legs of the tripod touch the table at three points. The legs suggest lines, and the table surface suggests a plane.

  3. Undefined Terms • Geometry depends on a common understanding of terms such as point, line, and plane. • Because these terms cannot be mathematically defined using other known words, they are called undefined terms.

  4. Vocabulary • Points • A point has no dimension. It is represented by a small dot.

  5. LineA line has one dimension. It extends without end in two directions. It is represented by a line with two arrowheads

  6. PlaneA plane has two dimensions. It is represented by a shape that looks like a floor or wall. You have to imagine that it extends

  7. Vocabulary • You need two points to describe a line. • You need three points to describe a plane.

  8. POSTULATES: • Statements that are accepted without further justification.

  9. POSTULATE 1 Two points determine a line. • Words: Through any two points there is exactly one line. • Symbols Line n passes through points P and Q.

  10. POSTULATE 2 Three Points Determine a Plane • Words: Through any three points not on the same line there is exactly one plane. • Symbols: Plane T passes through points A, B, and C.

  11. Example (In Notes) Use the diagram at right for #1-3. • Name four points. ____, ____, ____, ____ • Name two lines. _______, _______ • Name two planes. _____________, _______________

  12. Example 1 (From Book) Use the diagram at the right. • Name three points. • Name two lines. • Name two planes.

  13. Vocabulary • Collinear Points Points that lie on the same line. • Coplanar Points Points that lie on the same plane. • Coplanar Lines Lines that lie on the same plane.

  14. Example 2 (From Book) Use the diagram at the right. • Name three points that are collinear. • Name four points that are coplanar. • Name three points that are not collinear.

  15. CHECK POINT Use the diagram at the right. • Name two lines. • Name two planes. • Name three collinear points. • Name three noncollinear points. • Name four coplanar points. • Name two coplanar lines.

  16. Lines, Segments, and Rays

  17. Example • Draw three noncollinear points, R, S, and T. • Then draw line RS. • Then draw line segment ST. • Then draw ray TR.

  18. Daily Puzzler Draw three different planes that intersect in one point.

  19. HOMEWORK • Page 17: #15-37 all, 38-52 even, 54-62 all, 66-72 all • Due Friday, 09/30 • Reminder: Quiz tomorrow

More Related