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# 10.8: Chapter Test

Difficulty Level: At Grade Created by: CK-12
1. If the point Q(5,2)\begin{align*}Q(5, -2)\end{align*} is rotated 90\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 R90\begin{align*}R_{90^\circ}\end{align*}, What is the resulting image?
3. What is the mapping rule for the dilatation below?
1. (x,y)(kx,ky)\begin{align*}(x, y) \rightarrow (kx, ky)\end{align*}
2. (x,y)(2x,2y)\begin{align*}(x, y) \rightarrow (2x, 2y)\end{align*}
3. (x,y)(0.5x,0.5y)\begin{align*}(x, y) \rightarrow (0.5x, 0.5y)\end{align*}
4. (x,y)(x,y)\begin{align*}(x, y) \rightarrow (x, y)\end{align*}
4. What is the notation for the translation below?
1. R270(x,y)=(y,x)\begin{align*}R_{270^\circ} (x, y) = (y, -x)\end{align*}
2. R180(x,y)=(x,y)\begin{align*}R_{180^\circ} (x, y) = (-x, -y)\end{align*}
3. R90(x,y)=(y,x)\begin{align*}R_{90^\circ} (x, y) = (-y, x)\end{align*}
4. R90(x,y)=(y,x)\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 G(2,3)\begin{align*}G(-2, -3)\end{align*} that undergoes the composite transformation rxaxis  ryaxis\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 G(6,2)\begin{align*}G(6, -2)\end{align*} that undergoes the composite transformation R90  T4,5\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. T7,3  R180\begin{align*}T_{7, 3} \ \circ \ R_{180^\circ}\end{align*}
2. R180  T7,3\begin{align*}R_{180^\circ} \ \circ \ T_{7, 3}\end{align*}
3. rxaxis  T7,3\begin{align*}r_{x-axis} \ \circ \ T_{7, 3}\end{align*}
4. T7,3  rxaxis\begin{align*}T_{7, 3} \ \circ \ r_{x-axis}\end{align*}
9. What is the slope of the line ST\begin{align*}ST\end{align*} with vertices S(3,5)\begin{align*}S(-3, 5)\end{align*} and T(4,4)\begin{align*}T(4, -4)\end{align*} that undergoes a translation of 4 units to the left and 2 units up?
1. 79\begin{align*}\frac{7}{9}\end{align*}
2. 79\begin{align*}-\frac{7}{9}\end{align*}
3. 97\begin{align*}-\frac{9}{7}\end{align*}
4. 97\begin{align*}\frac{9}{7}\end{align*}
10. What is the distance of the line ST\begin{align*}ST\end{align*} with vertices S(3,5)\begin{align*}S(-3, 5)\end{align*} and T(4,4)\begin{align*}T(4, -4)\end{align*} that undergoes a reflection in the line y=x\begin{align*}y=-x\end{align*}?
1. 1.4
2. 0
3. 11.4
4. –1.3

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