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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'(-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. |
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. |
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(3,0), B(-1,5), C(3,7), D(5,5) |
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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,-6), B(1,-1), C(3,1), D(5,-1) |
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Hint |
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5. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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