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AoPS PowerPoint Presentation

AoPS

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AoPS

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  1. AoPS Introduction to Geometry

  2. Chapter 1: What’s in a Name?

  3. Point A dot. A speck. No up and down, no right and left. Can’t move any amount in any direction. 0 dimensions P 

  4. Point A dot. A speck. No up and down, no right and left. Can’t move any amount in any direction. 0 dimensions P  You get bored so you walk from one point to another on a straight path

  5. Point A dot. A speck. No up and down, no right and left. Can’t move any amount in any direction. 0 dimensions P  You get bored so you walk from one point to another on a straight path AB denotes a segment with endpoints A and B.

  6. Line Segment You get bored so you walk from one point to another on a straight path AB denotes a segment with endpoints A and B. There are infinitely many points between any 2 points – one special point is the midpoint – it is equidistant from the endpoints.

  7. Ray If you’re not happy just going from A to B, you can keep going past point B. If you keep going forever, you will make a ray. A B AB

  8. Line We could continue forever in both directions. The result is a line. B k A AB Sometimes we use a lowercase letter to describe a line, such as k in the figure.

  9. Collinear Points If three or more points are on the same line we say they are collinear.

  10. Concurrent Lines If 3 or more lines pass through the same point, we say the lines are concurrent.

  11. Plane Once we have the freedom to move off the path and move around on a surface, we’re up to two dimensions. we might call our dimensions left-right and up-down. If the page extended forever in every direction, we’d call it a plane.

  12. A chord is? What an arc??? Circle What is a What is a tangent? sector? a secant?? a segment??

  13. AB arc AB A B