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1. |
Which system of equations is shown in the graph? |
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A. |
2x - 6y = 1
7x + 4y = -2 |
B. |
2x + y = 9
x - y = 6 |
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C. |
x - 3y = -13
x + y = 1 |
D. |
3x - y = 1
x + 2y = 12 |
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Hint |
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2. |
Find the locus of points in the coordinate plane that satisfy the equations (x + 1)2 + (y - 3)2 = 72 and y = -x + 2. |
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A. |
(-4, -5), (4, 10) |
B. |
(-7, 9), (5, -3) |
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C. |
no points |
D. |
(6, -4), (8, -6) |
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Hint |
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3. |
In a coordinate plane, quadrilateral  quadrilateral WXYZ for A(-3, 1), B(4, 2), C(4, -2), D(-5, -3), W(0, 3), X(7, 4), Y(7, 0), and
Z(-2, -1). What type of mapping is this? |
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A. |
reflection |
B. |
dilation |
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C. |
rotation |
D. |
translation |
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Hint |
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4. |
Which figure has only one line of symmetry? |
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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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5. |
Which statement is true for the figure below? |
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A. |
 is a translation image of  |
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B. |
 is a translation image of |
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C. |
is a rotation image of |
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D. |
is a rotation image of |
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Hint |
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6. |
If AB = 6, find the measure of the dilation image of  for a dilation with scale factor -3. |
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A. |
9 |
B. |
-6 |
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C. |
3 |
D. |
18 |
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Hint |
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7. |
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. |
2 |
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C. |
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D. |
4 |
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Hint |
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8. |
Which description corresponds to the boundary below? |
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A. |
all lines in a plane parallel to a given line in that plane |
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B. |
all points in a plane that are 4 units from a given segment in that plane |
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C. |
all points in a plane that are 4 units from a given point in that plane |
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D. |
all points in space that are 4 units from a given point |
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Hint |
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9. |
If A(2, 4) is reflected over the x-axis, what are its new coordinates? |
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A. |
(-2, -4) |
B. |
(4, 2) |
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C. |
(-2, 4) |
D. |
(2, -4) |
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Hint |
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10. |
What is the locus of points in space that are 2 units from a given line segment 7 units long? |
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A. |
A right cylinder of radius 1 and height 7 and hemispheres with radius 1 on each end of the cylinder. |
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B. |
A right cylinder with height 7 and radius 2 and hemispheres with radius 2 on each end of the cylinder. |
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C. |
A sphere of radius 3.5. |
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D. |
A sphere of radius 7. |
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Hint |
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11. |
Find the locus of points that satisfy both equations,
x - 3y = -18 and x + y = -2. |
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A. |
(4, -2) |
B. |
(-3, -2) |
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C. |
(8, 6) |
D. |
(-6, 4) |
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Hint |
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12. |
Find the locus of points in the coordinate plane that satisfy the equations
y = 20 - x2 and y = x2. |
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A. |
no points of intersection |
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B. |
(-3.2, 10) and (3.2, 10) |
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C. |
(2, 0) and (-3, -10) |
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D. |
(6, 8) and (-4, -8) |
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Hint |
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13. |
What is the preimage of the quadrilateral ABCD in the isometry below? |
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A. |
QRST |
B. |
TSRQ |
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C. |
TQRS |
D. |
STQR |
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Hint |
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14. |
If Q (3, 4) of triangle QRS is translated by reflecting it about the graph of y = -1, what are the coordinates of Q'? |
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A. |
(4, -5) |
B. |
(-6, 3) |
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C. |
(-5, 4) |
D. |
(3 -6) |
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Hint |
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15. |
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. |
(-2, 3) |
B. |
(3, -6) |
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C. |
(6, -3) |
D. |
(-1, -2) |
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Hint |
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16. |
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'(-2, -3), R'(-1, 2), S'(-1, 3) |
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B. |
Q'(-3, -2), R'(2, -1), S'(-1, 3) |
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C. |
Q'(-2, -3), R'(2, -1), S'(-1, 3) |
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D. |
Q'(-3, -2), R'(-2, -1), S'(-1, -3) |
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Hint |
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