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1. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
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B. |
 intersects  at exactly two points. |
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C. |
None of the statements are true. |
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D. |
is exactly 5 feet long. |
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Hint |
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2. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
False; the square root of 4 is 2 or -2. |
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B. |
True; two answers are always more accurate than one answer. |
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C. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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D. |
False; the square root of a positive number is always a positive number. |
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Hint |
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3. |
Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils. |
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A. |
If the flowers are daffodils, then they are yellow. |
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B. |
The flowers are not daffodils. |
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C. |
If the flowers are not yellow, then they are not daffodils. |
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D. |
The flowers are not yellow. |
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Hint |
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4. |
A ______________ is a diagram that can be used to illustrate a conditional. |
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A. |
tree diagram |
B. |
Venn diagram |
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C. |
bar graph |
D. |
flow chart |
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Hint |
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5. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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B. |
The sum of 8 and 24 must be even. |
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C. |
If the numbers 8 and 24 are even, then their sum is 32. |
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D. |
The sum of 8 and 24 must be odd. |
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Hint |
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6. |
Complete the proof. |
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A. |
Transitive Property |
B. |
Substitution Property (=) |
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C. |
Addition Property (=) |
D. |
Angle Addition Property |
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Hint |
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7. |
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. |
List the given information. |
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D. |
Develop a system of inductive reasoning. |
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Hint |
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8. |
If  and  form a linear pair and  find  |
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A. |
96 |
B. |
86 |
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C. |
76 |
D. |
106 |
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Hint |
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9. |
If  and  are vertical angles and  and  find  |
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A. |
23 |
B. |
72 |
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C. |
43 |
D. |
68 |
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Hint |
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10. |
What is the negation of the conclusion of the following conditional?
All birds can fly. |
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A. |
It is not a bird. |
B. |
It can fly. |
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C. |
It cannot fly. |
D. |
It is a bird |
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Hint |
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11. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
If WXYZ has four right angles, then it is a square. |
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B. |
If WXYZ is not a square, then it does not have four right angles. |
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C. |
WXYZ has four right angles. |
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D. |
If WXYZ is not a square, then it has four right angles. |
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Hint |
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12. |
The starting point of a proof is the _____ of the conditional and the end is the _____ of the conditional. |
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A. |
hypothesis, conclusion |
B. |
conclusion, hypothesis |
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C. |
statement, reason |
D. |
conjecture, justification |
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Hint |
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13. |
For the proof shown, provide statement 3. |
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A. |
AB = CD |
B. |
AB = BA |
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C. |
CD = EF |
D. |
AB = EF |
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Hint |
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14. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
State the theorem to be proved. |
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B. |
If possible, draw a diagram to illustrate the given information. |
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C. |
List the given information. |
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D. |
Assume what you are trying to prove is true. |
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Hint |
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15. |
Write the contrapositive of the statement a right angle measures 90 degrees. |
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A. |
If an angle is a right angle, then it measures 90 degrees. |
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B. |
If an angle does not measure 90 degrees, then it is not a right angle. |
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C. |
If an angle is not a right angle, then its measure is not 90 degrees. |
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D. |
If an angle measures 90 degrees, then it is a right angle. |
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Hint |
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16. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Segment Addition Postulate |
B. |
Addition Property of Congruence |
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C. |
Whole Segment Postulate |
D. |
Ruler Postulate |
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Hint |
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