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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. |
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'(-2, -1), B'(-3, -5),
C'(-6, -2) |
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C. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
D. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
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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 y-axis |
B. |
reflection over the x-axis |
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C. |
reflection over the line y = x |
D. |
none of these |
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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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