# Test: Transformation Geometry I - Normal

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Question 1:   Find the coordinates of $A\left(1,1\right)$ under the translation $\left(\begin{array}{l}2\\ 3\end{array}\right)$
$\left(4,3\right)$
$\left(-1,-2\right)$
$\left(2,3\right)$
$\left(3,4\right)$
Question 2:   Find the coordinates of $A\left(0,-2\right)$ under the translation $\left(\begin{array}{l}-1\\ 2\end{array}\right)$
$\left(-1,0\right)$
$\left(1,-4\right)$
$\left(1,0\right)$
$\left(0,-4\right)$
Question 3:   Find the coordinates of the triangle ABC under the translation $\left(\begin{array}{l}1\\ 1\end{array}\right)$:

${A}^{\prime }\left(1,-1\right),{B}^{\prime }\left(4,-1\right),{C}^{\prime }\left(0,1\right)$
${A}^{\prime }\left(1,1\right),{B}^{\prime }\left(4,1\right),{C}^{\prime }\left(1,3\right)$
${A}^{\prime }\left(-1,-1\right),{B}^{\prime }\left(2,-1\right),{C}^{\prime }\left(-1,1\right)$
${A}^{\prime }\left(0,2\right),{B}^{\prime }\left(3,2\right),{C}^{\prime }\left(0,4\right)$
Question 4:   Find the coordinates of the triangle $ABC$ under the translation $\left(\begin{array}{l}2\\ -1\end{array}\right)$:

${A}^{\prime }\left(1,-2\right),{B}^{\prime }\left(5,-2\right),{C}^{\prime }\left(1,1\right)$
${A}^{\prime }\left(-2,1\right),{B}^{\prime }\left(6,1\right),{C}^{\prime }\left(-2,-2\right)$
${A}^{\prime }\left(-2,1\right),{B}^{\prime }\left(2,1\right),{C}^{\prime }\left(1,4\right)$
${A}^{\prime }\left(0,0\right),{B}^{\prime }\left(4,0\right),{C}^{\prime }\left(0,4\right)$
Question 5:   Find the reflection of the triangle $ABC$ across the $x$- axis

${A}^{\prime }\left(-1,-1\right),{B}^{\prime }\left(-5,-1\right),{C}^{\prime }\left(-3,-3\right)$
${A}^{\prime }\left(-1,1\right),{B}^{\prime }\left(-5,1\right),{C}^{\prime }\left(-3,3\right)$
${A}^{\prime }\left(1,-1\right),{B}^{\prime }\left(5,-1\right),{C}^{\prime }\left(3,-3\right)$
${A}^{\prime }\left(1,-3\right),{B}^{\prime }\left(5,-3\right),{C}^{\prime }\left(3,-1\right)$
Question 6:   Find the reflection of the triangle $ABC$ across the $x$-axis:

${A}^{\prime }\left(0,1,\right),{B}^{\prime }\left(-2,3\right),{C}^{\prime }\left(2,3\right)$
${A}^{\prime }\left(1,0\right),{B}^{\prime }\left(3,2\right),{C}^{\prime }\left(3,-2\right)$
${A}^{\prime }\left(0,-1\right),{B}^{\prime }\left(2,-3,\right),{C}^{\prime }\left(-2,-3\right)$
${A}^{\prime }\left(0,-1\right),{B}^{\prime }\left(-2,-3\right),{C}^{\prime }\left(2,-3\right)$
Question 7:   Find the reflection of the triangle $ABC$ across the $y-$ axis:

${A}^{\prime }\left(-1,-1\right),{B}^{\prime }\left(-1,-4\right),{C}^{\prime }\left(-3,-1\right)$
${A}^{\prime }\left(1,1\right),{B}^{\prime }\left(1,4\right),{C}^{\prime }\left(3,1\right)$
${A}^{\prime }\left(1,-1\right),{B}^{\prime }\left(1,-4\right),{C}^{\prime }\left(3,-1\right)$
${A}^{\prime }\left(1,-1\right),{B}^{\prime }\left(4,-1\right),{C}^{\prime }\left(1,-3\right)$
Question 8:   Find the reflection of the triangle $ABC$ across the $y-$ axis:

${A}^{\prime }\left(3,-2\right),{B}^{\prime }\left(1,-1\right),{C}^{\prime }\left(2,3\right)$
${A}^{\prime }\left(-3,2\right),{B}^{\prime }\left(-1,1\right),{C}^{\prime }\left(2,-3\right)$
${A}^{\prime }\left(3,2\right),{B}^{\prime }\left(1,1\right),{C}^{\prime }\left(2,-3\right)$
${A}^{\prime }\left(-2,3\right),{B}^{\prime }\left(-1,1\right),{C}^{\prime }\left(3,2\right)$
Question 9:   Find the reflection of the triangle $ABC$ across the $y=x$ line:

${A}^{\prime }\left(-2,4\right),{B}^{\prime }\left(2,1\right),{C}^{\prime }\left(3,3\right)$
${A}^{\prime }\left(-2,-4\right),{B}^{\prime }\left(2,-1\right),{C}^{\prime }\left(3,-3\right)$
${A}^{\prime }\left(4,2\right),{B}^{\prime }\left(1,-2\right),{C}^{\prime }\left(3,-3\right)$
${A}^{\prime }\left(-4,-2\right),{B}^{\prime }\left(-1,-2\right),{C}^{\prime }\left(-3,-3\right)$
Question 10:   Find the reflection of the triangle $ABC$ across the $y=x$ line:

${A}^{\prime }\left(2,1\right),{B}^{\prime }\left(3,4\right),{C}^{\prime }\left(1,5\right)$
${A}^{\prime }\left(2,-1\right),{B}^{\prime }\left(3,-4\right),{C}^{\prime }\left(1,-5\right)$
${A}^{\prime }\left(-2,1\right),{B}^{\prime }\left(-3,4\right),{C}^{\prime }\left(-1,5\right)$
${A}^{\prime }\left(-2,1\right),{B}^{\prime }\left(-3,-4\right),{C}^{\prime }\left(-1,-5\right)$