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Understanding Basic Geometry: Points, Lines, and Planes

Explore the foundational concepts of geometry in this section, including the definitions and characteristics of points, lines, and planes. Discover the historical significance of geometry in ancient cultures and its relevance in art and construction today. Points represent exact locations, lines extend infinitely in two directions, and planes are flat surfaces extending endlessly. Learn how to name these geometric figures using designated styles and the relationships between them, including collinear and coplanar concepts.

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Understanding Basic Geometry: Points, Lines, and Planes

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  1. POINTS, LINES AND PLANES Section 1-1 Jim Smith JCHS

  2. What is Geometry? • Geometry is the study of shapes • They studied Geometry in Ancient Mesopotamia & Ancient Egypt • Geometry is important in the art and construction fields

  3. POINT A POINT is an exact location on a graph, shape or in space. The ball is a POINT on the line.

  4. LINE A LINE goes in opposite directions and never, ever ends. Take a pearl necklace and stretch it out. The pearls are like points on a line.

  5. PLANE A PLANE is a flat surface that goes on forever in all directions. Imagine sitting on an island in the middle of the ocean. No matter which way you look…all you see is water…forever.

  6. TO NAME A POINT- WE USE A CAPTIAL LETTER .A .X

  7. T p S R TO NAME A LINE- USE ANY 2 POINTS ON THE LINE LINE RT or LINE ST or LINE RS Or a single italicized or cursive letter. RT RS

  8. POINTS ON THE SAME LINE ARE CALLED COLLINEARPOINTS A, B, AND Y ARE COLLINEAR . . Y . B A

  9. TO NAME A PLANE WE USE 3 OR 4 NONCOLLINEAR POINTS PLANE WAG or XAG or WXA . .A Q X .W .G PLANES CAN BE NAMED USING 1 LETTER …. PLANE Q

  10. THE INTERSECTION OF 2 LINES IS A POINT s S IS THE INTERSECTION OF THE 2 LINES

  11. LINE AB IS CONTAINED IN PLANE Q Q B A

  12. LINE XY INTERSECTS PLANE Q AT POINT X Y *Notice that the plane is named with a single cursive or italicized letter Q . X

  13. THE ARROW INTERSECTS THE TARGET AT 1 POINT

  14. Lines YB and XZ do not intersect Z . Y . B X These are SKEW. They do not intersect because they are not in the same plalne!

  15. THE INTERSECTION OF 2 PLANES IS A LINE A D G B C E E G H C F

  16. POINTS AND LINES CONTAINED IN THE SAME PLANE ARE CALLED COPLANAR Y G. P S. W. X

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