| |
| |
1. |
Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture? |
| |
|
A. |
The salesperson likes carnations. |
B. |
More customers buy roses than carnations. |
| |
|
C. |
Daniel will buy Jasmine irises. |
D. |
Jasmine will be excited to receive flowers for her birthday. |
| |
|
Hint |
|
| |
2. |
Which property of equality justifies the statement if x – 2 = 9, then x = 11? |
| |
|
A. |
Addition Property of Equality |
B. |
Symmetric Property of Equality |
| |
|
C. |
Multiplication Property of Equality |
D. |
Transitive Property of Equality |
| |
|
Hint |
|
| |
3. |
All right angles are ____________. |
| |
|
A. |
congruent |
B. |
180° |
| |
|
C. |
transitive |
D. |
complementary |
| |
|
Hint |
|
| |
4. |
Which angle corresponds to if  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Which problem-solving strategy is used in indirect proofs? |
| |
|
A. |
decision-making |
B. |
draw a diagram |
| |
|
C. |
guess and check |
D. |
working backward |
| |
|
Hint |
|
| |
6. |
The quadrilateral below is a parallelogram because_______. |
| |
|
 |
| |
|
A. |
it has four sides |
| |
|
B. |
the diagonals bisect each other |
| |
|
C. |
both pairs of opposite sides are congruent |
| |
|
D. |
both pairs of opposite angles are congruent |
| |
|
Hint |
|
| |
7. |
Architecture On the floor plan for a building, 1 inch represents 20 feet. If the dimensions of a room on the plan are inch by inches, what are the actual dimensions of the room? |
| |
|
A. |
15.5 ft by 25 ft |
B. |
16 ft by 28 ft |
| |
|
C. |
17.5 ft by 25 ft |
D. |
18 ft by 21.5 ft |
| |
|
Hint |
|
| |
8. |
In ABC, BE = 4, EC = 10, AD = x, and DC = 11. Find x so that || . |
| |
|
 |
| |
|
A. |
3.5 |
B. |
 |
| |
|
C. |
4.4 |
D. |
3.6 |
| |
|
Hint |
|
| |
9. |
Which are not the measures of the sides of a right triangle? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
In the figure, the line is ____ the circle. |
| |
|
 |
| |
|
A. |
inscribed in |
B. |
circumscribed about |
| |
|
C. |
a tangent of |
D. |
a secant of |
| |
|
Hint |
|
| |
11. |
Find the volume of the pyramid. |
| |
|
 |
| |
|
A. |
156 in3 |
B. |
160 in3 |
| |
|
C. |
80 in3 |
D. |
260 in3 |
| |
|
Hint |
|
| |
12. |
Which type of tranformation is not an isometry? |
| |
|
A. |
dilation |
B. |
translation |
| |
|
C. |
reflection |
D. |
rotation |
| |
|
Hint |
|
| |
13. |
Quadrilateral PQRS has vertices P(1, 6), Q(5, 2), R(3, -2), and S(-2, 4). If the quadrilateral is translated 2 units right and 4 units down, what are the coordinates of R'? |
| |
|
A. |
(5, -6) |
B. |
(3, 2) |
| |
|
C. |
(5, 2) |
D. |
(1, -6) |
| |
|
Hint |
|
| |
14. |
''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. |
Both 1 and 2 are obtuse. |
| |
|
B. |
1 and 2 are not congruent. |
| |
|
C. |
1 and 2 both have a measure of 45. |
| |
|
D. |
1 and 2 are congruent. |
| |
|
Hint |
|
| |
15. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
| |
|
A. |
List the given information. |
| |
|
B. |
State the theorem to be proved. |
| |
|
C. |
Assume what you are trying to prove is true. |
| |
|
D. |
If possible, draw a diagram to illustrate the given information. |
| |
|
Hint |
|
| |
16. |
If ACDF is a rectangle, what is m AEC? |
| |
|
 |
| |
|
A. |
135° |
B. |
70° |
| |
|
C. |
90° |
D. |
45° |
| |
|
Hint |
|
| |
17. |
Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides? |
| |
|
A. |
neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle |
| |
|
B. |
a 30°-60°-90° triangle |
| |
|
C. |
a 45°-45°-90° triangle |
| |
|
D. |
both a 45°-45°-90° triangle and a 30°-60°-90° triangle |
| |
|
Hint |
|
| |
18. |
Find the value of z. |
| |
|
 |
| |
|
A. |
1 |
B. |
4 |
| |
|
C. |
6.5 |
D. |
12.25 |
| |
|
Hint |
|
| |
19. |
Find the volume of a sphere with a surface area of 615.8 in2. (Round to the nearest tenth.) |
| |
|
A. |
2579.5 in3 |
B. |
1436.9 in3 |
| |
|
C. |
821.1 in3 |
D. |
2463.2 in3 |
| |
|
Hint |
|
| |
20. |
Is the mapping of triangle TUV triangle DEF in the coordinate plane an isometry? Why or why not? |
| |
|
 |
| |
|
A. |
Yes; sides are proportional. |
| |
|
B. |
Yes; sides are congruent. |
| |
|
C. |
No; sides are not proportional. |
| |
|
D. |
No, sides are not congruent. |
| |
|
Hint |
|
|