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Placing Figures on Coordinate Plane

"Nothing is ever achieved without enthusiasm." Ralph Waldo Emerson. Placing Figures on Coordinate Plane. Use the origin for vertex or center of figure. Place at least one side on an axis. Keep the figure within the first quadrant if possible.

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Placing Figures on Coordinate Plane

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  1. "Nothing is ever achieved without enthusiasm." Ralph Waldo Emerson Placing Figures on Coordinate Plane • Use the origin for vertex or center of figure. • Place at least one side on an axis. • Keep the figure within the first quadrant if possible. • Use coordinates that make computations as simple as possible. Put these steps into your notes for today’s class

  2. Mrs. Motlow Classroom Procedures Obtaining Help: C3B4ME 1. If you need help, ask a classmate. 2. If not helped, ask another classmate. 3. If still not helped, ask the 3rd and final classmate. • 4. If still in need of help, raise your hand. 5. I will come to your desk to provide assistance or ask you to come to my desk. 6. After being helped, quietly return to your seat. You are responsible for helping other classmates when asked! If it is a common question, let me know so we can share the answer with the class.

  3. Page 297 8 – 30 Even 8. Translation or reflection 10. Rotation 12. reflection, rotation or translation 14. Reflection 16. Translation 18. ABC is translation 20. XYZ is a rotation 22. Translation and rotation 24. Rotation 26. Translation 28. Vertical, A, H, I, M, O, T, U, V, W, X, Y Horizontal B, C, D, E, H, I, K, O, X

  4. Chapter 4.8 Triangles and Coordinate ProofObjective: Write coordinate proofs and be able to position and label triangle for coordinate proofs. CLE 3108.3.1 Use analytic geometry tools to explore geometric problems involving parallel and perpendicular lines, circles, and special points of polygons. CLE 3108.4.3 Develop an understanding of the tools of logic and proof, including aspects of formal logic as well as construction of proofs. Spi.3.2,Use coordinate geometry to prove characteristics of polygonal figures.

  5. "Nothing is ever achieved without enthusiasm." Ralph Waldo Emerson Placing Figures on Coordinate Plane • Use the origin for vertex or center of figure. • Place at least one side on an axis. • Keep the figure within the first quadrant if possible. • Use coordinates that make computations as simple as possible.

  6. Practice (a/2, b) L • Position and label and isosceles triangle JKL on a coordinate plane so that the base JK is a units long. • Use the origin as vertex J • Place the base of the triangle along the positive x axis • Position the triangle in the first quadrant. • Place vertex K at position (a, 0) to make JK a units long • Since JKL is isosceles, position point L ½ way between point J and K or at x coordinate a/2. Height is unknown, label b. K J (0, 0) (0, a)

  7. Find the missing coordinates E (0, a) • Name the missing coordinates of the Isosceles right triangle EFG. • Given E (0, a) • F (?, ?) • (0,0) • G (?, ?) • (a, 0), because isosceles triangle G (?, ?) F (?, ?)

  8. Find the missing coordinates S (?, ?) • Name the missing coordinates of the Isosceles right triangle QRS. • Given R (c, 0) • Q (?, ?) • (0,0) • S (?, ?) • (c,c), because isosceles triangle R (c, 0) Q (?, ?)

  9. Coordinate Proof • Write a coordinate proof to prove that the measure of the segment that joins the vertex of the right angle in a right triangle to the midpoint of the hypotenuse is one half the measure of the hypotenuse. • Given: Right ABC, P midpoint BC • Prove: AP = ½ BC B (0, 2b) Midpoint P (?, ?) A C (0, 0) (2c, 0)

  10. Page 303 Example 4 Scalene Triangle

  11. Practice Assignment • Page. 304 10 – 28 even

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