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1. |
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'(2, 7), B'(-1, 3), C'(4, 1) |
B. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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C. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
D. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
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Hint |
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2. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
B. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
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C. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
D. |
A'(1, -2), B'(5, -3), C'(2, -6) |
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Hint |
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3. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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B. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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C. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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D. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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Hint |
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4. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
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A. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
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B. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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C. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
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D. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
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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'(-4,-3), B(-2,-5) and C'(-5,-6) |
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B. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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C. |
A'(3,4), B(5,2) and C'(6,5) |
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D. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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Hint |
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