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1. |
If  and  is a right angle, what is the measure of  |
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A. |
130 |
B. |
135 |
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C. |
145 |
D. |
125 |
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Hint |
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2. |
Find the measure of  if  and  |
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A. |
35 |
B. |
42 |
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C. |
56 |
D. |
49 |
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Hint |
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3. |
Determine the slope of any line perpendicular to  . |
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A. |
3 |
B. |
 |
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C. |
 |
D. |
-3 |
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Hint |
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4. |
If  which lines must be parallel? |
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A. |
 |
B. |
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C. |
 |
D. |
 |
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Hint |
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5. |
Find the values of x and y that ensure that the quadrilateral is a parallelogram. |
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A. |
x = 2, y = 4 |
B. |
x = 1, y = 1 |
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C. |
x = 4, y = 2 |
D. |
x = 2, y = 1 |
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Hint |
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6. |
The measures of a pair of base angles of an isosceles trapezoid are
7x - 12 and 5x + 6. Find the value of x. |
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A. |
6 |
B. |
3 |
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C. |
12 |
D. |
9 |
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Hint |
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7. |
Solve the proportion  . |
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A. |
3 |
B. |
1 |
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C. |
7 |
D. |
63 |
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Hint |
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8. |
The measures of both legs of a right triangle are 4. What is the measure of the hypotenuse? |
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A. |
 |
B. |
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C. |
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D. |
8 |
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Hint |
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9. |
Find the area of the shaded region between the circle of diameter 4 feet and the equilateral triangle. Round to the nearest tenth. |
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A. |
8.7 ft2 |
B. |
10.0 ft2 |
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C. |
12.6 ft2 |
D. |
7.4 ft2 |
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Hint |
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10. |
Which is the equation of a line parallel to the line with equation
y = 3x - 4? |
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A. |
x + 3y = 4 |
B. |
3x - y = -2 |
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C. |
x - 3y = 1 |
D. |
3x + y = 7 |
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Hint |
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11. |
Two intersecting lines have a rotation angle of 80°. What is the measure of the angle formed by the intersecting lines? |
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A. |
180° |
B. |
40° |
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C. |
80° |
D. |
160° |
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Hint |
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12. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
If WXYZ is not a square, then it does not have four right angles. |
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B. |
If WXYZ is not a square, then it has four right angles. |
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C. |
WXYZ has four right angles. |
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D. |
If WXYZ has four right angles, then it is a square. |
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Hint |
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13. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
Assume what you are trying to prove is true. |
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B. |
State the theorem to be proved. |
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C. |
If possible, draw a diagram to illustrate the given information. |
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D. |
List the given information. |
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Hint |
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14. |
Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides? |
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A. |
both a 45°-45°-90° triangle and a 30°-60°-90° triangle |
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B. |
neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle |
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C. |
a 45°-45°-90° triangle |
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D. |
a 30°-60°-90° triangle |
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Hint |
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15. |
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points. |
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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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16. |
If  = (0,4) and  = (-1,6), and  = 2 -3, find . |
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A. |
(-3,26) |
B. |
(3,-10) |
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C. |
(0,10) |
D. |
(3,10) |
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Hint |
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17. |
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. |
(-2, 3) |
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C. |
(3, -6) |
D. |
(6, -3) |
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Hint |
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18. |
Which statement is true about dilations? |
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A. |
Dilations form similar images. |
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B. |
Dilations are the combination of two reflections. |
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C. |
Dilations form congruent images. |
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D. |
Dilations are isometries. |
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Hint |
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19. |
Find the probability that a point chosen at random lies in the shaded region. |
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A. |
0.5 |
B. |
0.75 |
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C. |
cannot be determined |
D. |
0.25 |
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Hint |
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20. |
Use the following statements to write a compound statement for the disjunction p or r. Then find its truth value. p: Square units are used when finding the volume of a solid. q: The area of a rectangle is found by multiplying its length by its width. r: 144 ÷ 12 = 12 |
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A. |
Square units are used when finding the volume of a solid, and 144 ÷ 12 = 12; false. |
B. |
Square units are used when finding the volume of a solid, and 144 ÷ 12 = 12; true. |
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C. |
Square units are used when finding the volume of a solid, or 144 ÷ 12 = 12; false. |
D. |
Square units are used when finding the volume of a solid, or 144 ÷ 12 = 12; true. |
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Hint |
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