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Reflections, Translations and Rotations

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  • Which type of transformation maintains orientation? reflection, translation or rotation
    translation
  • Which rule would result in a translation of 2 units left and 3 units up?
    (x-2, y+3)
  • Write a rule for the translation.
    (x+2, y-1)
  • Figure L is the result of a transformation on Figure K. Which transformation rule would accomplish this?
    (x,y) -->(-x, y)
  • How many degrees counterclockwise was the figure rotated?
    270 degrees counterclockwise
  • Point (-5,2) is reflected over the y axis. Where is the new point located?
    (5,2)
  • What transformation occurs if this rule is applied to a figure: (x,y) -> ( -x, y)
    Reflection over the y-axis
  • Identify the type of transformation from ABCD to A'B'C'D'.
    Translation
  • Apply the following rule to the point (-5,6): (x,y)-->(y,-x)
    (6,5)
  • The original figure prior to a transformation is called the...
    pre-image.
  • If you rotate an image 90 degrees clockwise and then rotate 90 degrees counter-clockwise, what happens to the image?
    The image goes back to its original position.
  • Identify the rule for the transformation.
    (x-5, y+1)
  • In a 180 degree rotation, (x , y) becomes ------->
    (-x, -y)
  • Reflect Point C over the y-axis. What is the coordinate point of C'?
    (-3,2)
  • To perform a translation of up 2, left 5, which rule would I use?
    (x-5, y+2)
  • Describe the movement of a figure using the transformation shown by the algebraic rule (x , y) → (x + 10 , y + 5)
    The figure would slide 10 units to the right and 5 units up
  • Reflect the pre-image (3,5) over the x-axis. The image is located at...
    (3, -5)
  • The rule for rotating a shape or point counterclockwise 270 degrees is
    (x,y) ---> (y, -x)
  • Rotate the following point 180 degrees counterclockwise (5,-2) What is the new coordinate point?
    (-5, 2)
  • Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of Tʹ?
    (-3, -1)
  • Rotate the following point 90 degrees counterclockwise: (1,5) What is the new coordinate point?
    (-5, 1)
  • Reflect the pre-image (3,5) over the y-axis. The image is located at...
    (-3, 5)
  • In a 90 degree counter clockwise rotation, (x , y) becomes ------->
    (-y, x)
  • When you translate a figure (x-4, y), the figure will slide _____.
    4 units to the left
  • Write the rule for the following transformation: Translation right 5 down 2
    (x,y) --> (x+5, y-2)
  • True or false: After a rotation, the image has the same size and shape as the preimage.
    True
  • Point (7,2) is translated horizontally left 5 units and up 2 units. Where is the new point located?
    (2,4)
  • State the line of reflection.
    The x-axis
  • When you translate a figure by the rule (x, y+6), the figure will slide _____.
    6 units up
  • After a figure has been transformed, we call the new figure the...
    image
  • State the rule for this transformation.
    (x, y) -->(x, -y)
  • Identify the rule for the transformation from ABC to A'B'C'.
    (x, -y)
  • An entire pre-image that is located in quadrant III is then rotated 90° clockwise about the origin. In which quadrant will the image be?
    Quadrant II