| |
| |
1. |
A _________ is a line or segment that passes through the midpoint of a side of a triangle and is perpendicular to that side. |
| |
|
A. |
mode |
B. |
median |
| |
|
C. |
angle bisector |
D. |
perpendicular bisector |
| |
|
Hint |
|
| |
2. |
has vertices X(-1, 1), Y(3, 9), and Z(6, -2). Determine the coordinates of point W on so that is a median of  |
| |
|
A. |
 |
B. |
(1, 5) |
| |
|
C. |
(2, 4) |
D. |
(2, -1) |
| |
|
Hint |
|
| |
3. |
Which assumption would you make to start an indirect proof of the statement Bob took the dog for a walk |
| |
|
A. |
Bob will take the dog for a walk. |
| |
|
B. |
Bob does not have to take the dog for a walk. |
| |
|
C. |
Bob did not take the dog for a walk. |
| |
|
D. |
Bob may take the dog for a walk. |
| |
|
Hint |
|
| |
4. |
Refer to the figure. Is longer than Explain. |
| |
|
 |
| |
|
A. |
Yes; the shortest distance from a point to a line is a perpendicular segment. |
| |
|
B. |
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. |
| |
|
C. |
All of these. |
| |
|
D. |
Yes; is the hypotenuse of and is a leg. |
| |
|
Hint |
|
| |
5. |
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain |
| |
|
A. |
No; 39 is greater than 13 + 21. |
| |
|
B. |
Yes; 13 + 21 is less than 39. |
| |
|
C. |
No; 13 is less than 21 + 39. |
| |
|
D. |
Yes; the sides of the triangle are not all the same lengths. |
| |
|
Hint |
|
| |
6. |
If , which relationship is true? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
7. |
Which inequality describes the range of possible values for x? |
| |
|
 |
| |
|
A. |
x < 14 |
B. |
4 < x < 14 |
| |
|
C. |
-6 < x < 14 |
D. |
x < 4 and x > 14 |
| |
|
Hint |
|
| |
8. |
PQR has vertices P(-4, 6), Q(4, 5), R(-2, -3). Which angle has the smallest measure? |
| |
|
A. |
R |
B. |
P |
| |
|
C. |
There is not enough information to answer this question. |
D. |
Q |
| |
|
Hint |
|
| |
9. |
Which of the following could not be a triangle? |
| |
|
A. |
15, 18, 8 |
B. |
7, 11, 3 |
| |
|
C. |
9, 9, 9 |
D. |
7, 28, 22 |
| |
|
Hint |
|
| |
10. |
The type of reasoning that uses a number of examples to arrive at a conclusion is __________ . |
| |
|
A. |
deductive reasoning |
B. |
inductive reasoning |
| |
|
C. |
contradictory reasoning |
D. |
exemplary reasoning |
| |
|
Hint |
|
|
|