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Types of Rigid Motion

Objective - To describe and interpret translations and reflections in the coordinate plane. Types of Rigid Motion. Rotation. Translation. Reflection. y. D. E. x. C. Rotations. The triangle below is rotated clockwise 90 around the origin. Give the coordinates of the image.

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Types of Rigid Motion

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  1. Objective - To describe and interpret translations and reflections in the coordinate plane. Types of Rigid Motion Rotation Translation Reflection

  2. y D E x C Rotations The triangle below is rotated clockwise 90 around the origin. Give the coordinates of the image. Image Coordinates

  3. y D E x C Translations The triangle below is translated 5 units right and 4 units down. Describe the translation below using coordinate notation. Coordinate Notation +5 -4

  4. y y x x Use coordinate notation to describe the translations below. 1) 2) J -6 -2 M +7 -4 N K

  5. y x Draw the image of Rectangle ABCD under the translation (x,y) (x - 4, y + 3). Find the coordinates of the image. Coordinate Notation A B D C

  6. Change each description of rigid motion to coordinate notation. 1) Move 6 units right, and 3 units down. 2) Move 2 units up, and 5 units left. 3) Move 2 units right. 4) Move 1 unit left, and move 3 units down.

  7. y A C B x Reflections Coordinate Notation

  8. Reflection over y-axis Reflection over x-axis

  9. y x M N

  10. Give the coordinates of the image if the given point is reflected over the given line of reflection. 3) T(-9,11); y-axis 1) A(5,-3); x-axis 2) H(-3,-7); y-axis 4) R(-3,8); x-axis

  11. y y x x Draw the image of Quadrilateral ABCD if it follows the given reflection. B B A A C C D D

  12. y x Points L(-3,2), M(3,1), and N(-2,-2) are the vertices of a triangle. If LMN is reflected over the x-axis, what are the coordinates of its image? Coordinate Notation L M N

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