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Understanding Quadrilaterals and Their Coordinate Placement

In this chapter, we explore the properties of quadrilaterals and how to place them in the coordinate plane. Topics include the Distance Formula, Slope Formula, and Midpoint Formula, providing crucial tools for analyzing geometric figures. By determining precise names for quadrilaterals based on vertex coordinates, including vertices H(-5,0), E(-3,2), A(3,2), and T(5,0), we unlock their characteristics. The section provides examples and practice problems to reinforce understanding, with emphasis on placing figures conveniently and solving for missing coordinates.

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Understanding Quadrilaterals and Their Coordinate Placement

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Presentation Transcript

  1. Chapter 6: Quadrilaterals 6.6 Placing Figures in the Coordinate Plane

  2. Review • Distance Formula: • Slope Formula: • Midpoint Formula:

  3. Review • Determine the most precise name of a quadrilateral with vertices H(-5,0), E(-3,2), A(3,2), and T(5,0).

  4. Placing Figures • in the coordinate plane, if we are not given specific coordinates, we can place one vertex at the origin, to make it easier • we can also change the scale of the graph, to avoid fractions

  5. Example 1 Is the inner quadrilateral a parallelogram? Explain.

  6. Example 2 • Rectangle KLMN is centered at the origin with sides parallel to the axes. Find the missing coordinates.

  7. Example 3 • Give coordinates for points D and S without using any new variables.

  8. Example 4 • Give coordinates for points D and S without using any new variables.

  9. Example 5 • Find coordinates for points D and S without using any new variables.

  10. Example 6 • Give coordinates for points D and S without using any new variables.

  11. Homework • p. 344: • 2-7, 23-25

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