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1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
theorem |
B. |
proof |
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C. |
definition |
D. |
postulate |
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Hint |
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2. |
Name a point on the exterior of  |
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A. |
point G |
B. |
point E |
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C. |
point D |
D. |
point C |
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Hint |
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3. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
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A. |
A, B, and C are noncollinear. |
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B. |
A, B, and C form on equilateral triangle. |
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C. |
A, B, and C form a right triangle. |
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D. |
A, B, and C are collinear. |
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Hint |
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4. |
Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.'' |
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A. |
If Deanna does not eat the last cookie, then Leon will not buy more. |
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B. |
If Deanna eats the last cookie, then Leon will not buy more. |
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C. |
If Deanna does not eat the last cookie, then Leon will buy more. |
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D. |
If Leon does not buy more, then Deanna did not eat the last cookie. |
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Hint |
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5. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
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A. |
Law of Detachment |
B. |
Law of Deductive Reasoning |
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C. |
Law of Syllogism |
D. |
Law of Conditional |
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Hint |
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6. |
For the proof shown, provide statement 5. |
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A. |
AB = DE |
B. |
BC = EF |
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C. |
AB = EF |
D. |
AC = DF |
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Hint |
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7. |
Which graph shows a line with an undefined slope? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
Which of the following means that the distance between two lines measured along a perpendicular line to the line is always the same? |
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A. |
equidistant |
B. |
equivalent |
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C. |
equilibrate |
D. |
equilateral |
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Hint |
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9. |
Which is an equation of the line with slope and passing through the point at (1, 2)? |
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A. |
y = 2x + 1 |
B. |
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C. |
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D. |
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Hint |
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10. |
Which is an equation of the line passing through points at (1, 6) and (-2, 1)? |
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A. |
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B. |
y = 2x + 5 |
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C. |
y = x + 5 |
D. |
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Hint |
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11. |
What three things are accepted as true without verification or proof? |
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A. |
conclusions, hypotheses, and postulates |
B. |
definitions, postulates, and undefined terms. |
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C. |
theorems, postulates, and undefined terms |
D. |
definitions, theorems, and postulates |
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Hint |
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12. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
If possible, draw a diagram to illustrate the given information. |
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B. |
State the theorem to be proved. |
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C. |
Assume what you are trying to prove is true. |
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D. |
List the given information. |
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Hint |
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13. |
If 3 4, which lines must be parallel? |
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A. |
a and b |
B. |
d and e |
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C. |
a and d |
D. |
a and c |
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Hint |
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14. |
The distance from a line to a point not on the line is the length of the segment _____ to the line from the point. |
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A. |
parallel |
B. |
between |
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C. |
perpendicular |
D. |
drawn |
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Hint |
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15. |
Find the distance from R(-7, 8) to the line with the equation y = 5. |
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A. |
-3 |
B. |
5 |
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C. |
11 |
D. |
3 |
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Hint |
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16. |
The distance between two parallel lines is the distance between one of the lines and _____ . |
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A. |
any point farther than the other line |
B. |
any point on the other line |
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C. |
any point not on the line |
D. |
the other line |
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Hint |
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17. |
Write the equation of the line parallel to that passes through the point (6,-1). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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18. |
Write the equation of the line that has an x-intercept of –6 and a y-intercept of 3. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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19. |
If DF = 15 and DE = 6, find EF if E is between D and F |
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A. |
6 |
B. |
12 |
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C. |
9 |
D. |
21 |
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Hint |
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20. |
Find the perimeter of a regular pentagon with a side measure of 57 centimeters. |
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A. |
228 cm |
B. |
649 cm |
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C. |
342 cm |
D. |
285 cm |
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Hint |
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