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Mastering Coordinates: Distance and Midpoint Formulas

Learn how to calculate distances between points and find midpoints on the XY-plane using the Distance and Midpoint Formulas. Detailed proofs and examples provided.

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Mastering Coordinates: Distance and Midpoint Formulas

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Presentation Transcript

  1. Chapter 2 Section 1

  2. Xy-Plane

  3. Some Plotted Points

  4. Quadrants

  5. TI-84 Plus C Standard Viewing Rectangle

  6. Use the Distance Formula

  7. Distance Between Two Points

  8. Theorem

  9. Proof of Distance Formula

  10. Proof continued

  11. Example

  12. Solution

  13. Example

  14. Solution Figure 8

  15. Solution continued

  16. Use the Midpoint Formula

  17. Derivation of Midpoint Formula

  18. Theorem

  19. Example

  20. Solution Figure 10

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