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Review: Graph y = -4

y. 10. x. -10. 10. -10. Review: Graph y = -4. Reflections. Geometry Unit 8, Day 2 Ms. Reed. What is a Reflection?. Definition: A flip. Example?. How to do a Reflection. Plot the point(s). Count from the point to the line of reflection.

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Review: Graph y = -4

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  1. y 10 x -10 10 -10 Review: Graph y = -4

  2. Reflections Geometry Unit 8, Day 2 Ms. Reed

  3. What is a Reflection? • Definition: A flip. • Example?

  4. How to do a Reflection • Plot the point(s). • Count from the point to the line of reflection. • Count the same number of spaces in the opposite direction. • Plot the image.

  5. y 10 x -10 10 A” A -10 A’ Graphing Coordinates • Plot the point A(4,6). • Reflect the point (4,6) over the x-axis. Label this point A’ and state the coordinates. • Reflect the point (4,6) over the y-axis. Label this point A” and state the coordinates. (4,-6) (-4,6)

  6. y 10 x -10 10 -10 Refresh Your Memory: Horizontal and Vertical Lines • Graph the following lines: • Y=5 • Y=-2 • X=4 • X=-6 Y=5 X=-6 X=4 Y=-2

  7. y 10 x -10 10 A” A -10 A’ Graphing Coordinates • Plot the point A(4,6). • Reflect the point (4,6) over the line x=-1. Label this point A’. • Reflect the point (4,6) over the line y=2. Label this point A”. y=2 (-6,6) x=-1 (4,-2)

  8. y 10 x -10 10 -10 More Reflection Examples • Graph the vertices of parallelogram WXYZ. • W(-3,5) • X(1,5) • Y(2,3) • Z(-2,3) • Reflect the parallelogram over the x-axis. W X • W’(-3,-5) • X’(1,-5) • Y’(2,-3) • Z’(-2,-3) Z Y Z’ Y’ W’ X’

  9. y 10 x -10 10 -10 More Reflection Examples • Graph the vertices of parallelogram WXYZ. • W(-3,1) • X(1,1) • Y(2,-1) • Z(-2,-1) • Reflect the parallelogram over the line x=-2 • W’(-1,1) • X’(-5,1) • Y’(-6,-1) • Z’(-2,-1) X’ W’ W X Z Y Y’ Z’ x=-2

  10. Practice with Line Reflections • http://www.regentsprep.org/Regents/math/geometry/GT1/Prac1.htm

  11. More Practice: • The image of the point (4,-3) under a reflection across the x-axis is… • (4,3) • The image of the point (-5,4) under a reflection across the y-axis is… • (5,4)

  12. Think about it: • The image of the point (-1, 8) under a reflection across the line y = x is … • (8, -1)

  13. Homework Work Packet: Reflections

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