| |
| |
1. |
Find the coordinates of K, the midpoint of , if the endpoints of are M(-4,6) and N (2,5). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
(-2, 6) |
| |
|
Hint |
|
| |
2. |
Which of the following best describes  |
| |
|
 |
| |
|
A. |
right |
B. |
obtuse |
| |
|
C. |
straight |
D. |
acute |
| |
|
Hint |
|
| |
3. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
| |
|
A. |
A, B, and C form a right triangle. |
| |
|
B. |
A, B, and C are noncollinear. |
| |
|
C. |
A, B, and C form on equilateral triangle. |
| |
|
D. |
A, B, and C are collinear. |
| |
|
Hint |
|
| |
4. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
| |
|
A. |
If the numbers 8 and 24 are even, then their sum is 32. |
| |
|
B. |
The sum of 8 and 24 must be odd. |
| |
|
C. |
The sum of 8 and 24 must be even. |
| |
|
D. |
If the numbers 8 and 24 are odd, then their sum is 32. |
| |
|
Hint |
|
| |
5. |
Name the remote interior angles of  |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Find the value of x. |
| |
|
 |
| |
|
A. |
9 |
B. |
10 |
| |
|
C. |
3 |
D. |
8 |
| |
|
Hint |
|
| |
7. |
Find the value of x. |
| |
|
 |
| |
|
A. |
 |
B. |
12 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Find the value of y to the nearest tenth. |
| |
|
 |
| |
|
A. |
36.9 |
B. |
53.1 |
| |
|
C. |
59.0 |
D. |
31.0 |
| |
|
Hint |
|
| |
9. |
Surveying Two of the sides of a triangular lot have lengths of 90 feet and 80 feet. If the angle opposite the 80-foot side is 59°, what is the length of the third side of the lot to the nearest tenth of a foot? |
| |
|
A. |
65.1 ft |
B. |
10 ft |
| |
|
C. |
67.5 ft |
D. |
57.9 ft |
| |
|
Hint |
|
| |
10. |
In , d = 6, f = 2, and = 111. Find the value of g to the nearest tenth. |
| |
|
A. |
6.3 |
B. |
5.6 |
| |
|
C. |
7.0 |
D. |
6.7 |
| |
|
Hint |
|
| |
11. |
Golf On a 180-yard hole, a golfer hits the ball 175 yards, 3° off-line. How far is the ball from the cup? |
| |
|
A. |
12.2 yd |
B. |
10.6 yd |
| |
|
C. |
15.0 yd |
D. |
42.1 yd |
| |
|
Hint |
|
| |
12. |
Which is the equation of a line parallel to the line with equation y = 3x - 4? |
| |
|
A. |
3x - y = -2 |
B. |
3x + y = 7 |
| |
|
C. |
x - 3y = 1 |
D. |
x + 3y = 4 |
| |
|
Hint |
|
| |
13. |
Find the value of x so the line that passes through (x, 6) and (10,-3) is parallel to the line that passes through (7, 2) and (6, 11) |
| |
|
A. |
1 |
B. |
-71 |
| |
|
C. |
9 |
D. |
-9 |
| |
|
Hint |
|
| |
14. |
Find the distance from R(-7, 8) to the line with the equation y = 5. |
| |
|
A. |
-3 |
B. |
3 |
| |
|
C. |
5 |
D. |
11 |
| |
|
Hint |
|
| |
15. |
Find the value of x. |
| |
|
 |
| |
|
A. |
42 |
B. |
14 |
| |
|
C. |
10 |
D. |
40 |
| |
|
Hint |
|
| |
16. |
If 28 and 49 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall? |
| |
|
A. |
31 and 67 |
B. |
21 and 77 |
| |
|
C. |
28 and 49 |
D. |
10 and 60 |
| |
|
Hint |
|
| |
17. |
Which statement can be proven using the SSS Inequality Theorem? |
| |
|
 |
| |
|
A. |
m B > m BCD |
B. |
CD = AP |
| |
|
C. |
m BAC < m PDA |
D. |
m PDA < m BAC |
| |
|
Hint |
|
| |
18. |
If Crystal is standing on a 15-foot diving board, and her friend Pablo is 48 feet from the spot in the pool underneath the diving board, what is the angle of depression from Crystal to Pablo, to the nearest tenth of a degree? |
| |
|
A. |
1.2° |
B. |
17.4° |
| |
|
C. |
72.6° |
D. |
3.8° |
| |
|
Hint |
|
| |
19. |
Raini is standing on a 40-foot cliff overlooking a river. The angle of depression to the near side of the river is 64°, and the angle of depression to the far side is 35°. How wide is the river, to the nearest tenth of a foot? |
| |
|
A. |
37.6 feet |
B. |
226.9 feet |
| |
|
C. |
13 feet |
D. |
1.4 feet |
| |
|
Hint |
|
| |
20. |
Triangle ABC has vertices A(2, 5), B(5, 2), and C(2, -1). Classify ABC. |
| |
|
A. |
acute |
B. |
scalene |
| |
|
C. |
isosceles |
D. |
equilateral |
| |
|
Hint |
|
|
|