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# Honors Geometry

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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.