# Test: Transformation Geometry II - Normal

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Question 1:   Find the reflection of the triangle $ABC$ across the $y=-x$ line

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

${A}^{\prime }\left(-2,1\right),{B}^{\prime }\left(0,-4\right),{C}^{\prime }\left(-4,-2\right)$
${A}^{\prime }\left(-2,-1\right),{B}^{\prime }\left(0,4\right),{C}^{\prime }\left(-4,2\right)$
${A}^{\prime }\left(2,1\right),{B}^{\prime }\left(0,-4\right),{C}^{\prime }\left(4,-2\right)$
${A}^{\prime }\left(2,-1\right),{B}^{\prime }\left(0,4\right),{C}^{\prime }\left(4,2\right)$
Question 3:   Find the coordinates of the triangle $ABC$ enlarged by a scale factor of $3$ and centered about the origin

${A}^{\prime }\left(-2,3\right),{B}^{\prime }\left(2,2\right),{C}^{\prime }\left(1,5\right)$
${A}^{\prime }\left(1,3\right),{B}^{\prime }\left(5,2\right),{C}^{\prime }\left(4,6\right)$
${A}^{\prime }\left(-3,0\right),{B}^{\prime }\left(3,-1\frac{1}{2}\right),{C}^{\prime }\left(1\frac{1}{2},\frac{1}{3}\right)$
${A}^{\prime }\left(-6,0\right),{B}^{\prime }\left(6,-3\right),{C}^{\prime }\left(3,9\right)$
Question 4:   Find the coordinates of the triangle $ABC$ enlarged by the scale factor of $\frac{1}{2}$ and centered about the origin

${A}^{\prime }\left(-4,0\right),{B}^{\prime }\left(4,4\right),{C}^{\prime }\left(0,6\right)$
${A}^{\prime }\left(-2,-1\right),{B}^{\prime }\left(2,1\right),{C}^{\prime }\left(0,2\right)$
${A}^{\prime }\left(-2,-2\right),{B}^{\prime }\left(6,2\right),{C}^{\prime }\left(2,4\right)$
${A}^{\prime }\left(-8,-4\right),{B}^{\prime }\left(8,2\right),{C}^{\prime }\left(0,8\right)$
Question 5:   Find the coordinates of the triangle $ABC$ rotated by ${90}^{\circ }$ about the origin

${A}^{\prime }\left(0,0\right),{B}^{\prime }\left(3,0\right),{C}^{\prime }\left(0,-3\right)$
${A}^{\prime }\left(0,0\right),{B}^{\prime }\left(-3,0\right),{C}^{\prime }\left(0,-3\right)$
${A}^{\prime }\left(0,0\right),{B}^{\prime }\left(0,3\right),{C}^{\prime }\left(-3,0\right)$
${A}^{\prime }\left(0,0\right),{B}^{\prime }\left(0,-3\right),{C}^{\prime }\left(3,0\right)$
Question 6:   Find the coordinates of the triangle $ABC$ rotated by ${180}^{\circ }$ about the origin

${A}^{\prime }\left(-1,-1\right),{B}^{\prime }\left(-1,-3\right),{C}^{\prime }\left(-3,-1\right)$
${A}^{\prime }\left(1,-1\right),{B}^{\prime }\left(3,-1\right),{C}^{\prime }\left(1,-3\right)$
${A}^{\prime }\left(-1,1\right),{B}^{\prime }\left(-3,1\right),{C}^{\prime }\left(-1,3\right)$
${A}^{\prime }\left(-1,-1\right),{B}^{\prime }\left(-3,-1\right),{C}^{\prime }\left(-1,-3\right)$
Question 7:   Find the coordinates of the triangle $ABC$ rotated by ${270}^{\circ }$ about the origin

${A}^{\prime }\left(5,-1\right),{B}^{\prime }\left(2,-1\right),{C}^{\prime }\left(3,-3\right)$
${A}^{\prime }\left(1,5\right),{B}^{\prime }\left(1,2\right),{C}^{\prime }\left(3,3\right)$
${A}^{\prime }\left(-1,-5\right),{B}^{\prime }\left(-1,-2\right),{C}^{\prime }\left(-3,-3\right)$
${A}^{\prime }\left(-5,-1\right),{B}^{\prime }\left(-2,-1\right),{C}^{\prime }\left(-3,-3\right)$
Question 8:   Find the coordinates of the triangle $ABC$ rotated by $-{90}^{\circ }$ about the origin

${A}^{\prime }\left(-3,-1\right),{B}^{\prime }\left(-4,-3\right),{C}^{\prime }\left(-1,-2\right)$
${A}^{\prime }\left(-1,3\right),{B}^{\prime }\left(-3,4\right),{C}^{\prime }\left(-2,1\right)$
${A}^{\prime }\left(1,3\right),{B}^{\prime }\left(3,4\right),{C}^{\prime }\left(2,1\right)$
${A}^{\prime }\left(3,1\right),{B}^{\prime }\left(4,3\right),{C}^{\prime }\left(1,2\right)$
Question 9:   Find the coordinates of the triangle $ABC$ rotated by ${90}^{\circ }$ and enlarged by the scale factor of $2$ and centered about the origin

${A}^{\prime }\left(-2,2\right),{B}^{\prime }\left(-4,-6\right),{C}^{\prime }\left(4,0\right)$
${A}^{\prime }\left(-2,2\right),{B}^{\prime }\left(6,4\right),{C}^{\prime }\left(0,-4\right)$
${A}^{\prime }\left(-2,-2\right),{B}^{\prime }\left(6,-4\right),{C}^{\prime }\left(0,4\right)$
${A}^{\prime }\left(2,-2\right),{B}^{\prime }\left(4,6\right),{C}^{\prime }\left(-4,0\right)$
Question 10:   Find the coordinates of the triangle $ABC$ rotated by ${180}^{\circ }$ and enlarged by the scale factor of $2$ and centered about the origin

${A}^{\prime }\left(-4,-6\right),{B}^{\prime }\left(-8,-8\right),{C}^{\prime }\left(-8,-4\right)$
${A}^{\prime }\left(4,-6\right),{B}^{\prime }\left(8,-8\right),{C}^{\prime }\left(8,-4\right)$
${A}^{\prime }\left(6,4\right),{B}^{\prime }\left(8,8\right),{C}^{\prime }\left(4,8\right)$
${A}^{\prime }\left(-6,-4\right),{B}^{\prime }\left(-8,-8\right),{C}^{\prime }\left(-4,-8\right)$