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1. |
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A. |
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B. |
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C. |
[10 37] |
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2. |
Which figure shows a line that is not a line of symmetry? |
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B. |
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C. |
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3. |
A square is reduced by a scale factor of . The area of the image is how many times the area of the preimage? |
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A. |
2 |
B. |
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C. |
4 |
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4. |
What are the coordinates of A´ if trapezoid ABCD is reflected over the x-axis? |
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A. |
A'(-7, 5) |
B. |
A'(7, -5) |
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C. |
A'(7, 5) |
D. |
A'(-7, -5) |
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5. |
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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6. |
Triangle QRS has vertices Q(5, 3), R(3, 7), and S(1, 2). Find the coordinates of the image of triangle QRS after it is rotated 90° counterclockwise about the origin. |
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A. |
Q´(-3, 5), R´(-7, 3), S´(-2, 1) |
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B. |
Q´(5, -3), R´(3, -7), S´(1, -2) |
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C. |
Q´(-5, -3), R´(-3, -7), S´(-1, -2) |
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D. |
Q´(-3, -5), R´(-7, -3), S´(-2, -1) |
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Hint |
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7. |
Triangle DEF has vertices D(-6, -1), E(-4, -8), and F(-2, -5). Find the coordinates of the image of triangle DEF after it is rotated 180° about the origin. |
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A. |
D´(1, -6), E´(8, -4), F´(5, -2) |
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B. |
D´(1, 6), E´(8, 4), F´(5, 2) |
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C. |
D´(6, 1), E´(4, 8), F´(2, 5) |
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D. |
D´(-1, -6), E´(-8, -4), F´(-5, -2) |
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Hint |
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8. |
If and find 4A – 5B. |
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C. |
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D. |
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9. |
What translation matrix should be used to translate a figure with five vertices up 3 units and right 2 units? |
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C. |
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10. |
Find the coordinates of the vertices of the image of a rectangle ABCD with A(4, -3), B(-3, 1), C(-7, -3), and D(5, 2) after a reflection across the line y = x. |
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A. |
A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
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B. |
A'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5) |
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C. |
A'(-3, 4),B'(1, -3),C'(-3, -7),D'(2, 5) |
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D. |
A'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5) |
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Hint |
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11. |
Find . |
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B. |
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C. |
impossible |
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D. |
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12. |
Find . |
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A. |
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B. |
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C. |
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D. |
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13. |
Use the triangle in the diagram with a translation of 7 down, 2 units to the right, followed by a reflection over the y-axis to find the coordinates of X''. |
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A. |
(-1, -1) |
B. |
(-1, 1) |
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C. |
(1, -1) |
D. |
(1, 1) |
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Hint |
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14. |
Use the triangle in the diagram with a translation of 6 down, 3 units to the right, followed by a reflection over the x-axis to find the coordinates of Y''. |
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A. |
(2, 5) |
B. |
(-2, 5) |
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C. |
(3, 6) |
D. |
(-3, 6) |
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Hint |
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15. |
An ice cream factory distributes chocolate, strawberry and vanilla cartons to two stores. The table shows the number of cartons distributed. The profit on a carton of chocolate is $1.70, strawberry is $2.30, and vanilla is $2.10. Find the amount of profit for store A. |
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A. |
$1325 |
B. |
$1524 |
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C. |
$1764.50 |
D. |
$1175 |
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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. |
$990 |
B. |
$1170 |
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C. |
$1050 |
D. |
$710 |
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Hint |
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