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Hint |
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2. |
The product gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. |
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A. |
A'(-1, 1), B'(1, -3) |
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B. |
A'(1, -3), B'(1, 1) |
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C. |
A'(-1, -3), B'(1, 1) |
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D. |
A'(1, 1), B'(-1, -3) |
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Hint |
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3. |
What type of transformation results from successive reflections about two parallel lines? |
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A. |
rotation |
B. |
dilation |
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C. |
translation |
D. |
turn |
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4. |
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. |
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B. |
4 |
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C. |
2 |
D. |
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5. |
Which letter shown has only one line of symmetry? |
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A. |
X |
B. |
O |
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C. |
A |
D. |
P |
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Hint |
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6. |
Square ABCD is shown in the figure. Find the coordinates of the vertices of the image if the square is translated 2 units to the right and 3 units up. |
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A. |
A´(-1, 1), B´(3, 1), C´(3, -3), D´(-1, -3) |
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B. |
A'(-2, 3), B'(6, 3), C'(6, -9), D'(-2, -9) |
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C. |
A´(0, 3), B´(4, 3), C´(4, -1), D´(0, -1) |
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D. |
A´(-1, 4), B´(3, 4), C´(3, 0), D´(-1, 0) |
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Hint |
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7. |
Pentagon EFGHI has vertices E(-9, 0), F(-3, 6), G(6, 6), H(6, -6), and I(-3, -6). Graph pentagon EFGHI and its dilated image E´F´G´H´I´ if the scale factor is . |
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8. |
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´(-5, -3), R´(-3, -7), S´(-1, -2) |
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B. |
Q´(-3, 5), R´(-7, 3), S´(-2, 1) |
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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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9. |
Find the product of  |
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B. |
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D. |
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Hint |
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10. |
Which of the following is true concerning matrix multiplication of three matrices A, B, and C? |
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C(A + B) = CA + CB |
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B. |
AB = BA for no cases |
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C. |
AB = BA for all cases |
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D. |
(A + B)C = CA + CB |
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Hint |
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11. |
Find the coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin. |
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A. |
F'(2, -4), G'(-3, -3),H'(4, 3) |
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B. |
F'(4, 2), G'(3, -3),H'(-3, 4) |
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C. |
F'(2, 4), G'(-3, 3),H'(4, -3) |
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D. |
F'(-2, 4), G'(3, 3),H'(-4, -3) |
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Hint |
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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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Hint |
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13. |
Suppose the matrix represents the records of the top four teams in a baseball season. If someone used this matrix to predict the total number of wins and losses by the second place team in the next decade (ten years), how many wins and losses would they predict? |
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A. |
980 wins, 640 losses |
B. |
910 wins, 710 losses |
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C. |
980 wins, 950 losses |
D. |
950 wins, 670 losses |
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Hint |
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14. |
What is the rule where the angle of rotation is 90° counterclockwise, and the center is (0, 0)? |
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A. |
(x, y) (-x, y) |
B. |
(x, y) (-x, -y) |
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C. |
(x, y) (-y, x) |
D. |
(x, y) (-y, -x) |
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Hint |
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15. |
Use the triangle in the diagram with a translation of 4 down, 2 units to the left, followed by a reflection over the x-axis to find the coordinates of Y''. |
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A. |
(-3, 3) |
B. |
(-2, 5) |
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C. |
(3, 3) |
D. |
(1, 3) |
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Hint |
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16. |
A farmer raises two crops that are shipped to 3 distributors. The table shows the number of crates shipped to each distributor. The profit on crop 1 is $2.50 per crate. The profit on crop 2 is $2.75 per crate. Find the amount of profit from Distributor C. |
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A. |
$1529 |
B. |
$2112.50 |
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C. |
$1540 |
D. |
$770 |
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Hint |
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