1 / 24

Honors Geometry

Honors Geometry. Points, Lines, Planes, Segments, Rays. Point. A location Has no size Represented by a small dot Named by a capital letter.  A. Space. A set of all points. Line. A series of points that extends in two opposite directions without end. Named by any 2 points on the line

chance
Download Presentation

Honors 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. Honors Geometry Points, Lines, Planes, Segments, Rays

  2. Point • A location • Has no size • Represented by a small dot • Named by a capital letter  A

  3. Space • A set of all points

  4. Line • A series of points that extends in two opposite directions without end. • Named by any 2 points on the line • Notation AB • Sometimes named by a single lower case letter   B A

  5. Collinear • Points that lie on the same line.

  6. Let’s Practice n C F m  E    P  D l • Are E, F, & D collinear? • Are E, F, & C collinear? • Name line m in three other ways. • Which line do they lie on?

  7. Plane • A flat surface • Has no thickness • Has no end • Named by a single capital letter or by at least 3 of its noncollinear points A B C

  8. Coplaner • Points and lines that lie in the same plane.

  9. Let’s Practice H G E F List 3 different names for the plane represented by the top of the cube. C D A B

  10. Postulate • An accepted statement of fact.

  11. Postulates Through any two points there is exactly one line. If 2 lines intersect, then they intersect in exactly one point. If 2 planes intersect, then they intersect in exactly one line. Through any 3 noncollinear points there is exactly one plane.

  12. Your Turn: m   A G B    C E D   F n Are A, D, & F collinear? Are A, E, & C collinear? Name line n in 3 other ways.

  13. Your Turn: E G F H C D A B Name the plane represented by the front. Name the plane represented by the right side. Name the intersection of plane ABH and EFG. Name 2 planes that intersect in FA. Is A coplaner with F, H, & B? Name another point in plane EFC. Is D coplaner with G, H, & C?

  14. Coordinate Geometry Graph the points (3, -3), (2, -3), and (-3,1) and decide whether they are collinear.

  15. Name That Postulate Which postulate explains the following situation? A land surveyor can always find a straight line from the point where she stands to any other point she can see. A furniture maker knows that a 3-legged table is always steady, but a 4-legged table will sometimes wobble.

  16. Segment • Part of a line consisting of 2 endpoints and all the points in between. • Notation: AB or BA B A

  17. Ray • Part of a line consisting of one endpoint and all the points of the line on one side of the endpoint. • Notation: AB  B A

  18. Let’s Practice Q P  L   Name the segments in the figure. Name the rays in the figure.

  19. Opposite Rays • 2 collinear rays with the same endpoints • Always form a line    O A B

  20. Parallel Lines Coplaner lines that do not intersect.

  21. Skew Lines • Noncoplaner lines • Not parallel • Don’t intersect E G F H C D A B

  22. Let’s Practice B A Z D C X Y H G I J Name all segments parallel to DC. Name all segments skew to DC.

  23. Parallel Planes Planes that do not intersect.

  24. Let’s Practice B A Z D C X Y H G I J Name a set of parallel planes.

More Related