| |
| |
1. |
If  and  is a right angle, what is the measure of  |
| |
|
 |
| |
|
A. |
135 |
B. |
125 |
| |
|
C. |
145 |
D. |
130 |
| |
|
Hint |
|
| |
2. |
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. |
Daniel will buy Jasmine irises. |
B. |
More customers buy roses than carnations. |
| |
|
C. |
Jasmine will be excited to receive flowers for her birthday. |
D. |
The salesperson likes carnations. |
| |
|
Hint |
|
| |
3. |
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz. |
| |
|
A. |
He will get a good grade on the quiz. |
| |
|
B. |
Ralph may do his math homework. |
| |
|
C. |
He will not get a good grade on the quiz. |
| |
|
D. |
Ralph does his math homework. |
| |
|
Hint |
|
| |
4. |
Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.'' |
| |
|
A. |
If Deanna does not eat the last cookie, then Leon will not buy more. |
| |
|
B. |
If Deanna eats the last cookie, then Leon will not buy more. |
| |
|
C. |
If Deanna does not eat the last cookie, then Leon will buy more. |
| |
|
D. |
If Leon does not buy more, then Deanna did not eat the last cookie. |
| |
|
Hint |
|
| |
5. |
Find the slope of the line. |
| |
|
 |
| |
|
A. |
4 |
B. |
0 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Find  |
| |
|
 |
| |
|
A. |
50 |
B. |
62 |
| |
|
C. |
68 |
D. |
56 |
| |
|
Hint |
|
| |
7. |
If  is parallel to  , what is  |
| |
|
 |
| |
|
A. |
54 |
B. |
109 |
| |
|
C. |
126 |
D. |
71 |
| |
|
Hint |
|
| |
8. |
Refer to the figure. Is  longer than  Explain. |
| |
|
 |
| |
|
A. |
Yes; is the hypotenuse of  and  is a leg. |
| |
|
B. |
Yes; the shortest distance from a point to a line is a perpendicular segment. |
| |
|
C. |
Yes; the measure of the angle opposite is 90 and the measure of the angle opposite must be less than 90 because the sum of the measures of the angles must be 180. |
| |
|
D. |
All of these. |
| |
|
Hint |
|
| |
9. |
Which of the following does not guarantee that a quadrilateral is a parallelogram? |
| |
|
A. |
A pair of consecutive sides are congruent. |
| |
|
B. |
Both pairs of opposite sides are parallel. |
| |
|
C. |
Both pairs of opposite sides are congruent. |
| |
|
D. |
Both pairs of opposite angles are congruent. |
| |
|
Hint |
|
| |
10. |
Which is the equation of a line parallel to the line with equation
y = 3x - 4? |
| |
|
A. |
3x + y = 7 |
B. |
x - 3y = 1 |
| |
|
C. |
3x - y = -2 |
D. |
x + 3y = 4 |
| |
|
Hint |
|
| |
11. |
Which of the following statements is true? |
| |
|
 |
| |
|
A. |
The intersection of  and plane M is  . |
| |
|
B. |
intersects plane M in two points. |
| |
|
C. |
intersects plane M at point B. |
| |
|
D. |
intersects plane M at point C. |
| |
|
Hint |
|
| |
12. |
Find the coordinates of point M if S(-4, 5) is the midpoint of  and the coordinates of P are (-8, 8). |
| |
|
A. |
(6,  ) |
B. |
(0, -2) |
| |
|
C. |
(-2, 0) |
D. |
(0, 2) |
| |
|
Hint |
|
| |
13. |
Which cannot be used as a reason in a proof? |
| |
|
A. |
Definitions |
B. |
postulates |
| |
|
C. |
conjectures |
D. |
Algebra properties |
| |
|
Hint |
|
| |
14. |
For the proof shown, provide statement 3. |
| |
|
 |
| |
|
 |
| |
|
A. |
AB = BA |
B. |
CD = EF |
| |
|
C. |
AB = CD |
D. |
AB = EF |
| |
|
Hint |
|
| |
15. |
If two angles of an isosceles triangle are each twice the measure of the other angle, what is the measure of this other angle? |
| |
|
A. |
18° |
B. |
72° |
| |
|
C. |
36° |
D. |
64° |
| |
|
Hint |
|
| |
16. |
Find the values of x. and y that ensure that LMNO is a parallelogram. |
| |
|
 |
| |
|
A. |
x = 8, y = 1 |
B. |
x =  , y = 4 |
| |
|
C. |
x = 4, y = |
D. |
x =  , y =  |
| |
|
Hint |
|
| |
17. |
Determine how to classify ABCD most precisely for A(-3, -2), B(-2, 2), C(4, ), and D(3, - ). |
| |
|
A. |
rhombus |
B. |
parallelogram |
| |
|
C. |
rectangle |
D. |
square |
| |
|
Hint |
|
| |
18. |
The measures of the diagonals of an isosceles trapezoid are 3x + 7 and 5x - 11, respectively. Find the value of x. |
| |
|
A. |
5 |
B. |
9 |
| |
|
C. |
7 |
D. |
3 |
| |
|
Hint |
|
| |
19. |
The ratio of the measures of three sides of a triangle is 5:9:12 and the perimeter is 182 inches. What is the measure of the longest side of the triangle? |
| |
|
A. |
2184 inches |
B. |
 inches |
| |
|
C. |
84 inches |
D. |
100 inches |
| |
|
Hint |
|
| |
20. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
| |
|
A. |
29 units |
B. |
12 units |
| |
|
C. |
11 units |
D. |
72 units |
| |
|
Hint |
|
|