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1. |
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'(1, -2), B'(-5, 3), C'(-2, 6) |
D. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
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Hint |
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2. |
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'(9, -3), B'(12, -6), C'(21, 3) |
B. |
A'(-3, 9), B'(-6, 12), C'(3, 21) |
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C. |
A,/i>'(12, -6), B'(21, 3), C'(-9, -3) |
D. |
A'(21, 3), B'(12, -6), C'(-9, -3) |
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Hint |
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3. |
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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4. |
The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the line y = x |
B. |
reflection over the y-axis |
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C. |
reflection over the x-axis |
D. |
none of these |
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Hint |
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5. |
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(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
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B. |
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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C. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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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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