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1. |
Find A - B if  and  |
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B. |
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Hint |
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2. |
Find 3 |
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B. |
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3. |
Write the translation matrix for  and its image  |
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C. |
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D. |
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4. |
Find  |
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5. |
If AB = 6, find the measure of the dilation image of  for a dilation with scale factor -3. |
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A. |
-6 |
B. |
3 |
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C. |
9 |
D. |
18 |
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6. |
If A (-2, -3) is reflected over the y-axis, what are the new coordinates of A' ? |
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A. |
(-2, 3) |
B. |
(2, 3) |
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C. |
(2, -3) |
D. |
(-2, -3) |
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7. |
The point W (-2, 1) is in quadrilateral WXYZ. If the quadrilateral is translated 3 units down and 2 units to the left, what are the coordinates of W'? |
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A. |
(-4, -2) |
B. |
(2, -4) |
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C. |
(0, 4) |
D. |
(0, -4) |
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8. |
Find the coordinates of A (3, -2) after it has been translated by reflecting it over the graph of y = 1 and then y = -1. |
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A. |
(-1, -2) |
B. |
(3, -6) |
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C. |
(6, -3) |
D. |
(-2, 3) |
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9. |
Triangle QRS with coordinates Q (3, 2), R (-2, 1) and S (1, -3) is rotated 180° on the coordinate plane. What are the coordinates of triangle Q'R'S'? |
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A. |
Q'(-3, -2), R'(2, -1), S'(-1, 3) |
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B. |
Q'(-2, -3), R'(2, -1), S'(-1, 3) |
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C. |
Q'(-3, -2), R'(-2, -1), S'(-1, -3) |
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D. |
Q'(-2, -3), R'(-1, 2), S'(-1, 3) |
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10. |
Identify the transformation. |
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A. |
Translation |
B. |
Dilation |
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C. |
Reflection |
D. |
Rotation |
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11. |
A triangle has vertices M(-3, 6), N(-3, 3), and O(0, 3). Find the coordinates of the dilated triangle M´N´O´ if the scale factor is  . |
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A. |
M´(1, -2), N´(1, -1), O´(0, -1) |
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B. |
M´(-1, 6), N´(-1, 3), O´(0, 3) |
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C. |
M´(-1, 2), N´(-1, 1), O´(0, 1) |
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D. |
M´(-9, 18), N´(-9, 9), O´(0, 9) |
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Hint |
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12. |
Given that   and  use the fact that  to find AB + AC. |
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13. |
What translation matrix should be used to translate a figure with five vertices up 3 units and right 2 units? |
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14. |
Use the parallelogram in the diagram with a translation of 4 down, 6 units to the left, followed by a reflection over the y-axis to find the coordinates of W''. |
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A. |
(6, 2) |
B. |
(2, 6) |
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C. |
(-6, 2) |
D. |
(4, 2) |
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Hint |
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15. |
The table shows how many pieces of furniture four stores receive. The profit on a couch is $150, a lamp is $20, a side table is $80 and a chair is $90. Find the profit for Store A. |
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A. |
$710 |
B. |
$990 |
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C. |
$1170 |
D. |
$1050 |
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Hint |
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16. |
The table shows how many pieces of furniture four stores receive. The profit on a couch is $150, a lamp is $20, a side table is $80 and a chair is $90. Find the profit for Store B. |
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A. |
$1170 |
B. |
$990 |
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C. |
$710 |
D. |
$1050 |
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Hint |
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