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1. |
Which segment has a measure of 7? |
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A. |
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B. |
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C. |
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D. |
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2. |
If R is the midpoint of  , SR=3x+8,and RT =5x-6, find the measure of  . |
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A. |
13 |
B. |
29 |
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C. |
14 |
D. |
32 |
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3. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
inductive reasoning |
B. |
a conjecture |
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C. |
guessing |
D. |
deductive reasoning |
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Hint |
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4. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
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A. |
None of the statements are valid conjectures. |
B. |
AB = CD |
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C. |
AB = BD |
D. |
AB + CD = 12 |
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Hint |
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5. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
True; two answers are always more accurate than one answer. |
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B. |
False; the square root of a positive number is always a positive number. |
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C. |
False; the square root of 4 is 2 or -2. |
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D. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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Hint |
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6. |
Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.'' |
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A. |
If Leon does not buy more, then Deanna did not eat the last cookie. |
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B. |
If Deanna does not eat the last cookie, then Leon will buy more. |
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C. |
If Deanna does not eat the last cookie, then Leon will not buy more. |
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D. |
If Deanna eats the last cookie, then Leon will not buy more. |
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Hint |
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7. |
A ______________ is a diagram that can be used to illustrate a conditional. |
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A. |
Venn diagram |
B. |
bar graph |
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C. |
tree diagram |
D. |
flow chart |
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Hint |
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8. |
Which of the following statements is true? |
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A. |
The intersection of  and plane M is  . |
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B. |
intersects plane M at point B. |
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C. |
intersects plane M in two points. |
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D. |
intersects plane M at point C. |
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Hint |
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9. |
What three things are accepted as true without verification or proof? |
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A. |
conclusions, hypotheses, and postulates |
B. |
definitions, theorems, and postulates |
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C. |
theorems, postulates, and undefined terms |
D. |
definitions, postulates, and undefined terms. |
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Hint |
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10. |
Find x if Q is the midpoint of  PQ = 19, and PR = 8x + 14. |
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A. |
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B. |
7 |
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C. |
3 |
D. |
14 |
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Hint |
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11. |
Name a point on the interior of  BGD. |
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A. |
G |
B. |
A |
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C. |
D |
D. |
C |
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Hint |
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12. |
Which statement follows from (1) and (2) by the Law of Syllogism? (1) If two angles form a linear pair, then they are supplementary. (2) If two angles are supplementary, then the sum of their measures is 180. |
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A. |
The sum of the measures of the angles in a linear pair is 180. |
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B. |
Supplementary angles form a linear pair. |
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C. |
A linear pair is formed by supplementary angles. |
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D. |
The measures of supplementary angles add up to 180. |
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Hint |
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13. |
Which law is similar to the Transitive Property? |
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A. |
Law of Conditional |
B. |
Law of Detachment |
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C. |
Law of Syllogism |
D. |
Law of Deductive Reasoning |
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Hint |
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14. |
The starting point of a proof is the _____ of the conditional and the end is the _____ of the conditional. |
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A. |
statement, reason |
B. |
conjecture, justification |
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C. |
conclusion, hypothesis |
D. |
hypothesis, conclusion |
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Hint |
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15. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Transitive Property (=) |
B. |
Reflexive Property (=) |
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C. |
Distributive Property |
D. |
Symmetric Property |
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Hint |
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16. |
For the proof shown, provide the reason for part b. |
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A. |
Definition of Addition |
B. |
Symmetric Property (=) |
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C. |
Definition of congruent segments |
D. |
Definition of a line |
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Hint |
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17. |
For the proof shown, provide statement 3. |
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A. |
AB = EF |
B. |
AB = BA |
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C. |
AB = CD |
D. |
CD = EF |
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Hint |
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18. |
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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19. |
What is the perimeter of rectangle GHIJ with vertices G(-7, -3), H(-7, 3), I(1, 3), and J(1, -3)? |
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A. |
48 units |
B. |
54 units |
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C. |
28 units |
D. |
13 units |
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Hint |
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20. |
A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? |
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A. |
42 |
B. |
15 |
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C. |
21 |
D. |
7 |
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Hint |
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