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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. |
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,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
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C. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
D. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
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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(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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B. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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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. |
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. |
none of these |
B. |
reflection over the x-axis |
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C. |
reflection over the line y = x |
D. |
reflection over the y-axis |
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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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