1 / 68

Millau Bridge Sir Norman Foster

Millau Bridge Sir Norman Foster. Millenium Park Frank Lloyd Wright. Fallingwaters Frank Lloyd Wright. Point, Lines, Planes, Angles. Points, Lines, and Planes Building Blocks of Geometry. Points, Lines, Planes. The Key Building Blocks of Geometry. Point. A. Labeled Point.

alexalexander
Download Presentation

Millau Bridge Sir Norman Foster

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. Millau Bridge Sir Norman Foster Millenium Park Frank Lloyd Wright Fallingwaters Frank Lloyd Wright Point, Lines, Planes, Angles Points, Lines, and Planes Building Blocks of Geometry

  2. Points, Lines, Planes The Key Building Blocks of Geometry

  3. Point A Labeled Point A point is thought of as a location in space without any dimension. How come we can see it? It is only a model.

  4. Equidistant Points • Equidistant means… the same distance away. Point H is equidistant from point G and H. Points G and H are equidistant from point H.

  5. Equidistantis One of the most important concepts in Geometry. It is also one of the easiest.

  6. Use your compass to determine which points are equidistant from A. A, B, C, D, E Why ?

  7. C Find a point C that is 8 cm from both A and B. C is equidistant from A and B.

  8. Find a point D that is also 8 cm from both A and B. C D D is equidistant from A and B.

  9. A D P B C Find points equidistant from C. Find points equidistant from A. D and D B and D Find points equidistant from B. Find points equidistant from P. A and C A, B, C and D

  10. Other types of Points Main Point Point of No Return Point of order Entry Point Military Point Exit Point Point of reference Point it out to me. Point of intersection Get the Point Peak Point

  11. A line is thought of as a string of as consecutive points going in opposite directions. It has no width, only length. How come we can see it? It is only a model.

  12. A line is labeled two ways… L1 By using a letter and a subscript. Or by two points on a line. B A AB

  13. Name the line 7 different ways. L1 D A B C This can be a problem because their can be many alternate answers. Lets agree to at least put the letters in alphabetical order.

  14. Name the line in different ways. L1 D A B C AB AC AC BC BD CD L1 7 How many more different ways can the line be name? Use your fingers to show your answer.

  15. Intersecting Lines D A X C B Lines that cross each other at a point.

  16. How many lines through 4 points? L1 D A B C These points are called collinear points because they are all in the same line

  17. Types of Points? These points are called non-collinear points because no line can contain them all.

  18. A B C D F E G H K What kind of points are B, C and D? Collinear

  19. A B C D F E G H K What kind of points are A, B and C? Noncollinear

  20. A B C D F E G H K What kind of points are G, H and K? Noncollinear

  21. A B C D F E G H K What kind of points are A, C, F and H? collinear

  22. A B C D F E G H K What kind of points are A, G and K? Noncollinear

  23. A B C D F E G H K What kind of points are G, F, and D? collinear

  24. A B C D F E G H K What kind of points are G, H and K? collinear

  25. How many lines through 4 points? 3 collinear and 1 not. D A C 4 B

  26. How many lines through 4 points? 2 collinear and 2 more collinear. A B 6 D C

  27. How many lines through 4 points? No 3 points collinear. A B 6 C D

  28. Other Types of Lines Boundary Line Line of sight Sailing Line Median Line Line of Work Contour Line

  29. Planes • Can be described as all points that lie on a flat surface that has no edges. • A plane extends infinitely in all directions.

  30. A Planes B D C Planes are named by a letter in the corner.

  31. 747 Planes B D C Planes are named by a symbol that designates an airplane for fun.

  32. Variations of Planes

  33. Intersecting planes

  34. The intersection of 2 planes is a line.

  35. D is in plane… L E is in plane… R F is in plane… H C is in plane… G is in plane… H L

  36. A is in plane… All of them. B is in plane… All of them.

  37. Coplanar Points

  38. Space • Is the final frontier. Is the set of all points. It’s everywhere. It’s everywhere !!!

  39. C’est fini. Good day and good luck. Examples of Points, Lines, and Plane Architectural Examples Following this slide.

  40. The flat surfaces are models of planes. They do not extend for ever. Havasu Falls, Grand Canyon

  41. Floors, Lakes, Gemstones, and Waterfalls Are models of planes. They don’t extend forever.

  42. Cascading planes of rice patties. Asia

  43. Fallingwaters by Frank Lloyd Wright Bear Run Western, PA Cantilevered Planes

More Related