| |
| |
1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
| |
|
A. |
deductive reasoning |
B. |
guessing |
| |
|
C. |
a conjecture |
D. |
inductive reasoning |
| |
|
Hint |
|
| |
2. |
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 are collinear. |
| |
|
D. |
A, B, and C form on equilateral triangle. |
| |
|
Hint |
|
| |
3. |
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? |
| |
|
A. |
All statements are valid conjectures. |
| |
|
B. |
A country music station bought out her favorite music station over the weekend. |
| |
|
C. |
Her favorite station has changed their morning program to include country music. |
| |
|
D. |
Someone used her car during the weekend and changed the station. |
| |
|
Hint |
|
| |
4. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
| |
|
 |
| |
|
A. |
None of the statements are true. |
| |
|
B. |
 intersects  at exactly two points. |
| |
|
C. |
 |
| |
|
D. |
is exactly 5 feet long. |
| |
|
Hint |
|
| |
5. |
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. |
True; two answers are always more accurate than one answer. |
| |
|
C. |
False; the square root of a positive number is always a positive number. |
| |
|
D. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
| |
|
Hint |
|
|
|