1 1 points, lines and planes

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High School Geometry

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1 1 points, lines and planes

  1. 1. POINTS, LINES AND PLANES Jim Smith JCHS Section 1-1
  2. 2. What is Geometry? <ul><li>Geometry is the study of shapes </li></ul><ul><li>They studied Geometry in Ancient Mesopotamia & Ancient Egypt </li></ul><ul><li>Geometry is important in the art and construction fields </li></ul>
  3. 3. POINT <ul><li>A POINT is an exact location on a graph, shape or in space. </li></ul><ul><li>The ball is a POINT on the line. </li></ul>
  4. 4. LINE <ul><li>A LINE goes in opposite directions and never, ever ends. </li></ul>Take a pearl necklace and stretch it out. The pearls are like points on a line.
  5. 5. PLANE <ul><li>A PLANE is a flat surface that goes on forever in all directions. </li></ul><ul><li>Imagine sitting on an island in the middle of the ocean. No matter which way you look…all you see is water…forever. </li></ul>
  6. 6. TO NAME A POINT- WE USE A CAPTIAL LETTER <ul><li>.A </li></ul><ul><li>.X </li></ul>
  7. 7. TO NAME A LINE- USE ANY 2 POINTS ON THE LINE <ul><li>LINE RT or LINE ST or LINE RS </li></ul>RT RS R T S
  8. 8. POINTS ON THE SAME LINE ARE CALLED COLLINEAR POINTS <ul><li>A, B, AND Y ARE COLLINEAR </li></ul>A Y B . . .
  9. 9. TO NAME A PLANE WE USE 3 OR 4 NONCOLLINEAR POINTS <ul><li>PLANE WAG or XAG or WXA </li></ul>.A .W . PLANES CAN BE NAMED USING 1 LETTER …. PLANE Q Q X .G
  10. 10. THE INTERSECTION OF 2 LINES IS A POINT s S IS THE INTERSECTION OF THE 2 LINES
  11. 11. LINE AB IS CONTAINED IN PLANE Q Q A B
  12. 12. LINE XY INTERSECTS PLANE Q AT POINT X Q X Y .
  13. 13. THE ARROW INTERSECTS THE TARGET AT 1 POINT
  14. 14. Lines YB and XZ do not intersect X Y B Z . .
  15. 15. THE INTERSECTION OF 2 PLANES IS A LINE A C E F G B C H D E G
  16. 16. POINTS AND LINES CONTAINED IN THE SAME PLANE ARE CALLED COPLANAR Y W . S . P X G .

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