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1. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
B. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
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C. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
D. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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Hint |
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3. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(21, 3), B'(12, -6), C'(-9, -3) |
B. |
A,/i>'(12, -6), B'(21, 3), C'(-9, -3) |
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C. |
A'(-3, 9), B'(-6, 12), C'(3, 21) |
D. |
A'(9, -3), B'(12, -6), C'(21, 3) |
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Hint |
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4. |
Find the image of after Rot90 · Ry-axis if the vertices are A(2, -3), B(6, -3), and C(2, 5). |
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A. |
A'(-3, 2), B'(-3, 6), C'(5, 2) |
B. |
A'(3, -2), B'(3, -6), C'(-5, -2) |
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C. |
A'(-3, -2), B'(-3, -6), C'(-5, -2) |
D. |
A'(3, 2), B'(3, 6), C'(5, -2) |
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Hint |
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5. |
Use matrices to determine the coordinates of the image of
with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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B. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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C. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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D. |
A'(3,4), B(5,2) and C'(6,5) |
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Hint |
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