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10.8: Chapter Test

Difficulty Level: At Grade Created by: CK-12
  1. If the point \begin{align*}Q(5, -2)\end{align*} is rotated \begin{align*}90^\circ\end{align*} CW about the origin, what are the coordinates of the rotated point?
    1. (2, 5)
    2. (2, –5)
    3. (–2, –5)
    4. (–5, 2)
  2. If the image undergoes the rotation \begin{align*}R_{90^\circ}\end{align*}, What is the resulting image?
  3. What is the mapping rule for the dilatation below?
    1. \begin{align*}(x, y) \rightarrow (kx, ky)\end{align*}
    2. \begin{align*}(x, y) \rightarrow (2x, 2y)\end{align*}
    3. \begin{align*}(x, y) \rightarrow (0.5x, 0.5y)\end{align*}
    4. \begin{align*}(x, y) \rightarrow (x, y)\end{align*}
  4. What is the notation for the translation below?
    1. \begin{align*}R_{270^\circ} (x, y) = (y, -x)\end{align*}
    2. \begin{align*}R_{180^\circ} (x, y) = (-x, -y)\end{align*}
    3. \begin{align*}R_{90^\circ} (x, y) = (-y, x)\end{align*}
    4. \begin{align*}R_{-90^\circ} (x, y) = (-y, -x)\end{align*}
  5. What property is not common for all of the transformation types?
    1. distance
    2. angle measures
    3. mid-points
    4. parallelism
  6. What are the coordinates of the point \begin{align*}G(-2, -3)\end{align*} that undergoes the composite transformation \begin{align*}r_{x-axis} \ \circ \ r_{y-axis}\end{align*}
    1. (2, –3)
    2. (2, 3)
    3. (3, –2)
    4. (–3, –2)
  7. What are the coordinates of the point \begin{align*}G(6, -2)\end{align*} that undergoes the composite transformation \begin{align*}R_{90^\circ} \ \circ \ T_{4, 5}\end{align*}
    1. (11, 3)
    2. (2, 6)
    3. (–16, 11)
    4. (6, 11)
  8. What is the notation for the translation below?
    1. \begin{align*}T_{7, 3} \ \circ \ R_{180^\circ}\end{align*}
    2. \begin{align*}R_{180^\circ} \ \circ \ T_{7, 3}\end{align*}
    3. \begin{align*}r_{x-axis} \ \circ \ T_{7, 3}\end{align*}
    4. \begin{align*}T_{7, 3} \ \circ \ r_{x-axis}\end{align*}
  9. What is the slope of the line \begin{align*}ST\end{align*} with vertices \begin{align*}S(-3, 5)\end{align*} and \begin{align*}T(4, -4)\end{align*} that undergoes a translation of 4 units to the left and 2 units up?
    1. \begin{align*}\frac{7}{9}\end{align*}
    2. \begin{align*}-\frac{7}{9}\end{align*}
    3. \begin{align*}-\frac{9}{7}\end{align*}
    4. \begin{align*}\frac{9}{7}\end{align*}
  10. What is the distance of the line \begin{align*}ST\end{align*} with vertices \begin{align*}S(-3, 5)\end{align*} and \begin{align*}T(4, -4)\end{align*} that undergoes a reflection in the line \begin{align*}y=-x\end{align*}?
    1. 1.4
    2. 0
    3. 11.4
    4. –1.3

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Date Created:
Mar 10, 2014
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Jan 14, 2015
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