# Test: Transformation Geometry II - Ambitious

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

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

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

${A}^{\prime }\left(2,2\right),{B}^{\prime }\left(-4,1\right),{C}^{\prime }\left(-6,4\right)$
${A}^{\prime }\left(2,-4\right),{B}^{\prime }\left(-4,-2\right),{C}^{\prime }\left(-6,-8\right)$
${A}^{\prime }\left(-1,-4\right),{B}^{\prime }\left(2,-2\right),{C}^{\prime }\left(3,-8\right)$
${A}^{\prime }\left(-2,4\right),{B}^{\prime }\left(4,2\right),{C}^{\prime }\left(6,8\right)$
Question 4:   Find the coordinates of the triangle $ABC$ enlarged by a scale factor of $\frac{1}{3}$ and centered about the origin

${A}^{\prime }\left(-1,-2\right),{B}^{\prime }\left(2,0\right),{C}^{\prime }\left(0,1\right)$
${A}^{\prime }\left(-2,-5\right),{B}^{\prime }\left(7,1\right),{C}^{\prime }\left(1,4\right)$
${A}^{\prime }\left(1,2\right),{B}^{\prime }\left(-2,0\right),{C}^{\prime }\left(0,-1\right)$
${A}^{\prime }\left(-2,-1\right),{B}^{\prime }\left(0,2\right),{C}^{\prime }\left(1,0\right)$
Question 5:   Find the coordinates of the triangle $ABC$ rotated by ${90}^{\circ }$ about the origin

${A}^{\prime }\left(-5,-2\right),{B}^{\prime }\left(2,-4\right),{C}^{\prime }\left(4,-2\right)$
${A}^{\prime }\left(5,2\right),{B}^{\prime }\left(2,4\right),{C}^{\prime }\left(1,2\right)$
${A}^{\prime }\left(-5,-2\right),{B}^{\prime }\left(-2,-4\right),{C}^{\prime }\left(-1,-2\right)$
${A}^{\prime }\left(-2,5\right),{B}^{\prime }\left(-4,2\right),{C}^{\prime }\left(-2,1\right)$
Question 6:   Find the coordinates of the triangle $ABC$ rotated by ${180}^{\circ }$ about the origin

${A}^{\prime }\left(1,3\right),{B}^{\prime }\left(-2,1\right),{C}^{\prime }\left(-3,2\right)$
${A}^{\prime }\left(3,1\right),{B}^{\prime }\left(1,-2\right),{C}^{\prime }\left(2,-3\right)$
${A}^{\prime }\left(-1,-3\right),{B}^{\prime }\left(2,-1\right),{C}^{\prime }\left(3,-2\right)$
${A}^{\prime }\left(-3,1\right),{B}^{\prime }\left(-1,-2\right),{C}^{\prime }\left(-2,-3\right)$
Question 7:   Find the coordinates of the triangle $ABC$ rotated by ${270}^{\circ }$ about the origin

${A}^{\prime }\left(-1,2\right),{B}^{\prime }\left(-1,-1\right),{C}^{\prime }\left(3,0\right)$
${A}^{\prime }\left(2,1\right),{B}^{\prime }\left(-1,1\right),{C}^{\prime }\left(0,-3\right)$
${A}^{\prime }\left(-1,-2\right),{B}^{\prime }\left(-1,1\right),{C}^{\prime }\left(3,0\right)$
${A}^{\prime }\left(1,2\right),{B}^{\prime }\left(1,-1\right),{C}^{\prime }\left(-3,0\right)$
Question 8:   Find the coordinates of the triangle $ABC$ rotated by $-{90}^{\circ }$ about the origin

${A}^{\prime }\left(2,3\right),{B}^{\prime }\left(-2,0\right),{C}^{\prime }\left(-3,-2\right)$
${A}^{\prime }\left(-3,2\right),{B}^{\prime }\left(0,-2\right),{C}^{\prime }\left(-2,-3\right)$
${A}^{\prime }\left(2,-3\right),{B}^{\prime }\left(-2,0\right),{C}^{\prime }\left(-3,2\right)$
${A}^{\prime }\left(3,2\right),{B}^{\prime }\left(0,-2\right),{C}^{\prime }\left(2,-3\right)$
Question 9:   Find the coordinates of the triangle $ABC$ rotated by ${90}^{\circ }$ , enlarged by the scale factor of $2$ and centered about the origin

${A}^{\prime }\left(2,4\right),{B}^{\prime }\left(-6,2\right),{C}^{\prime }\left(-4,-6\right)$
${A}^{\prime }\left(-2,-4\right),{B}^{\prime }\left(6,-2\right),{C}^{\prime }\left(4,6\right)$
${A}^{\prime }\left(4,-2\right),{B}^{\prime }\left(2,6\right),{C}^{\prime }\left(-6,4\right)$
${A}^{\prime }\left(-4,2\right),{B}^{\prime }\left(-2,-6\right),{C}^{\prime }\left(6,-4\right)$
Question 10:   Find the coordinates of the triangle $ABC$ rotated by ${180}^{\circ }$ , enlarged by the scale factor $-\frac{1}{2}$ and centered about the origin

${A}^{\prime }\left(-2,-1\right),{B}^{\prime }\left(0,1\right),{C}^{\prime }\left(-3,1\right)$
${A}^{\prime }\left(2,1\right),{B}^{\prime }\left(0,-1\right),{C}^{\prime }\left(3,-1\right)$
${A}^{\prime }\left(1,2\right),{B}^{\prime }\left(-1,0\right),C\left(-1,3\right)$
${A}^{\prime }\left(-1,-2\right),{B}^{\prime }\left(1,0\right),{C}^{\prime }\left(1,-3\right)$