| |
| |
1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
| |
|
A. |
inductive reasoning |
B. |
guessing |
| |
|
C. |
deductive reasoning |
D. |
a conjecture |
| |
|
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 on equilateral triangle. |
| |
|
B. |
A, B, and C form a right triangle. |
| |
|
C. |
A, B, and C are noncollinear. |
| |
|
D. |
A, B, and C are collinear. |
| |
|
Hint |
|
| |
3. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
| |
|
 |
| |
|
A. |
AB + CD = 12 |
B. |
None of the statements are valid conjectures. |
| |
|
C. |
AB = CD |
D. |
AB = BD |
| |
|
Hint |
|
| |
4. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
| |
|
A. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
| |
|
B. |
False; the square root of 4 is 2 or -2. |
| |
|
C. |
False; the square root of a positive number is always a positive number. |
| |
|
D. |
True; two answers are always more accurate than one answer. |
| |
|
Hint |
|
| |
5. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
| |
|
A. |
The team played 19 games.. |
B. |
The team was undefeated. |
| |
|
C. |
The team finished 5th in their conference. |
D. |
The team won their last 5 games. |
| |
|
Hint |
|
|