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10.7: Quiz

Difficulty Level: At Grade Created by: CK-12
1. What is the image of the point (5, –2) under a translation T2,3\begin{align*}T_{2,-3}\end{align*}?
1. (3, 1)
2. (7, –5)
3. (10, 6)
4. (2, 0)
2. Which of the following is the notation for a point undergoing a translation of 2 units to the left and 3 units up?
1. (x,y)(x+2,y3)\begin{align*}(x, y) \rightarrow (x+2, y-3)\end{align*}
2. (x,y)(x+3,y2)\begin{align*}(x, y) \rightarrow (x+3, y-2)\end{align*}
3. (x,y)(x2,y+3)\begin{align*}(x, y) \rightarrow (x-2, y+3)\end{align*}
4. (x,y)(x3,y+2)\begin{align*}(x, y) \rightarrow (x-3, y+2)\end{align*}
3. If point X(1,3)\begin{align*}X(-1, 3)\end{align*} undergoes a translation of T3,2\begin{align*}T_{3, 2}\end{align*}, what would be the translated point.
1. (2, 5)
2. (–3, 6)
3. (1, 6)
4. (–2, 1)
4. If point A(4,7)\begin{align*}A(4, -7)\end{align*} is reflected across the x\begin{align*}x\end{align*}-axis, what are the coordinates of the reflected point?
1. (–4, 7)
2. (4, 7)
3. (–4, –7)
4. (7, 4)
5. If point S(2,5)\begin{align*}S(2, -5)\end{align*} is reflected about the origin, what are the coordinates of the reflected point?
1. (–2, 5)
2. (–5, 2)
3. (–2, –5)
4. (2, –5)
6. If point T(8,3)\begin{align*}T(-8, 3)\end{align*} is reflected about the line y=x\begin{align*}y=x\end{align*}, what are the coordinates of the reflected point?
1. (8, –3)
2. (8, 3)
3. (–3, 8)
4. (3, –8)
7. If triangle ABC\begin{align*}ABC\end{align*} has the vertices A(2,4),B(5,9)\begin{align*}A(2, 4), B(5, 9)\end{align*} and C(7,2)\begin{align*}C(7, 2)\end{align*} and is reflected in the y\begin{align*}y\end{align*}-axis, what are the coordinates of the reflected triangle?
8. Write the notation for the transformation performed in question 7.
9. If triangle ABC\begin{align*}ABC\end{align*} has the vertices A(2,4),B(5,9)\begin{align*}A(2, 4), B(5, 9)\end{align*} and C(7,2)\begin{align*}C(7, 2)\end{align*} and is translated 5 units to the right and 5 units down, what are the coordinates of the translated triangle?
10. Write the notation for the transformation performed in question 9.

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