| |
| |
1. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
| |
|
A. |
False; the square root of 4 is 2 or -2. |
| |
|
B. |
False; the square root of a positive number is always a positive number. |
| |
|
C. |
True; two answers are always more accurate than one answer. |
| |
|
D. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
| |
|
Hint |
|
| |
2. |
Name the postulate or theorem that concludes  |
| |
|
 |
| |
|
A. |
Consecutive Interior Angles Theorem |
| |
|
B. |
Alternate Interior Angles Theorem |
| |
|
C. |
Alternate Exterior Angles Theorem |
| |
|
D. |
Corresponding Angles Postulate |
| |
|
Hint |
|
| |
3. |
Find the value of x in the parallelogram below. |
| |
|
 |
| |
|
A. |
33 |
| |
|
B. |
30 |
| |
|
C. |
140 |
| |
|
D. |
50 |
| |
|
Hint |
|
| |
4. |
If PQRS is a parallelogram, find the value of y. |
| |
|
 |
| |
|
A. |
115 |
B. |
175 |
| |
|
C. |
75 |
D. |
15 |
| |
|
Hint |
|
| |
5. |
If ABCD is a parallelogram and the slope of  is  . Then the slope of  is ______. |
| |
|
A. |
|
B. |
-3 |
| |
|
C. |
3 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Caving While surveying Overlook Cave, Mike measures the angle of elevation from his line of sight to the top of a rock formation as 22°. The rock formation is 10 feet away and he is measuring from a point 3 feet above the floor of the cave. To the nearest tenth of a foot, how high is the rock formation? |
| |
|
A. |
24.8 ft |
B. |
27.8 ft |
| |
|
C. |
7.0 ft |
D. |
4.0 ft |
| |
|
Hint |
|
| |
7. |
 |
| |
|
 |
| |
|
A. |
9 |
B. |
5 |
| |
|
C. |
4 |
D. |
22 |
| |
|
Hint |
|
| |
8. |
Gift Wrapping Teisha is wrapping a box that 10 inches long, 12 inches wide, and 2 inches high. What is the surface area of the box? |
| |
|
A. |
164 in2 |
B. |
280 in2 |
| |
|
C. |
352 in2 |
D. |
328 in2 |
| |
|
Hint |
|
| |
9. |
How many bases does a pyramid have? |
| |
|
A. |
1 |
B. |
2 |
| |
|
C. |
Any number |
D. |
3 |
| |
|
Hint |
|
| |
10. |
What type of transformation results from successive reflections about two parallel lines? |
| |
|
A. |
translation |
B. |
turn |
| |
|
C. |
dilation |
D. |
rotation |
| |
|
Hint |
|
| |
11. |
If AB = 6, find the measure of the dilation image of for a dilation with scale factor -3. |
| |
|
A. |
18 |
B. |
-6 |
| |
|
C. |
3 |
D. |
9 |
| |
|
Hint |
|
| |
12. |
Which of the following best describes AGF? |
| |
|
 |
| |
|
A. |
straight |
B. |
right |
| |
|
C. |
acute |
D. |
obtuse |
| |
|
Hint |
|
| |
13. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment? |
| |
|
A. |
1 and 2 are not congruent. |
| |
|
B. |
1 and 2 are congruent. |
| |
|
C. |
1 and 2 both have a measure of 45. |
| |
|
D. |
Both1 and 2 are obtuse. |
| |
|
Hint |
|
| |
14. |
What three properties hold true for congruence of segments? |
| |
|
A. |
reflexive, multiplication, and division |
| |
|
B. |
reflexive, symmetric, and substitution |
| |
|
C. |
reflexive, symmetric, and transitive |
| |
|
D. |
addition, subtraction, and multiplication |
| |
|
Hint |
|
| |
15. |
What can you assume from the following figure? |
| |
|
 |
| |
|
A. |
H is the center of the circle. |
| |
|
B. |
 GHK is isosceles. |
| |
|
C. |
mJ + mGKI = 180. |
| |
|
D. |
 is a diameter of the circle. |
| |
|
Hint |
|
| |
16. |
Find the volume of the cylinder. (Round to the nearest tenth.) |
| |
|
 |
| |
|
A. |
2476.8 in3 |
B. |
2884.0 in3 |
| |
|
C. |
2307.2 in3 |
D. |
2544.7 in3 |
| |
|
Hint |
|
| |
17. |
Find the volume of a sphere with a circumference of 31.4 in. (Round to the nearest tenth.) |
| |
|
A. |
1568.4 in3 |
B. |
522.8 in3 |
| |
|
C. |
314.2 in3 |
D. |
16210.2 in3 |
| |
|
Hint |
|
| |
18. |
Find the length of the hypotenuse of this right triangle. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
19. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
| |
|
 |
| |
|
A. |
If two lines intersect, then their intersection is exactly one point. |
| |
|
B. |
If two planes intersect, then their intersection is a line. |
| |
|
C. |
Through any three points not on the same line, there is exactly one plane. |
| |
|
D. |
Through any two points, there is exactly one line. |
| |
|
Hint |
|
| |
20. |
The type of reasoning that uses a number of examples to arrive at a conclusion is __________ . |
| |
|
A. |
contradictory reasoning |
B. |
deductive reasoning |
| |
|
C. |
inductive reasoning |
D. |
exemplary reasoning |
| |
|
Hint |
|
|
|