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1. |
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. |
AB = CD |
B. |
AB = BD |
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C. |
None of the statements are valid conjectures. |
D. |
AB + CD = 12 |
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Hint |
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2. |
Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture? |
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A. |
The salesperson likes carnations. |
B. |
More customers buy roses than carnations. |
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C. |
Jasmine will be excited to receive flowers for her birthday. |
D. |
Daniel will buy Jasmine irises. |
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Hint |
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3. |
If-then statements are also called ______________. |
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A. |
reasons |
B. |
conditionals |
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C. |
hypotheses |
D. |
conclusions |
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Hint |
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4. |
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 Syllogism |
B. |
Law of Conditional |
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C. |
Law of Detachment |
D. |
Law of Deductive Reasoning |
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Hint |
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5. |
Which property of equality justifies the statement
if x – 2 = 9, then x = 11? |
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A. |
Symmetric Property of Equality |
B. |
Transitive Property of Equality |
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C. |
Addition Property of Equality |
D. |
Multiplication Property of Equality |
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Hint |
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6. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
Develop a system of inductive reasoning. |
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B. |
List the given information. |
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C. |
State the theorem to be proved. |
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D. |
If possible, draw a diagram to illustrate the given information. |
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Hint |
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7. |
If  and  are vertical angles and  and  find  |
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A. |
43 |
B. |
23 |
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C. |
68 |
D. |
72 |
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Hint |
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8. |
In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. |
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A. |
inverse, negation |
B. |
converse, negation |
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C. |
converse, inverse |
D. |
hypothesis, converse |
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Hint |
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9. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and  1 and 2 are vertical. Which is not true based on the Law of Detachment? |
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A. |
Both1 and 2 are obtuse. |
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B. |
1 and 2 are not congruent. |
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C. |
1 and 2 both have a measure of 45. |
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D. |
1 and 2 are congruent. |
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Hint |
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10. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Reflexive Property (=) |
B. |
Symmetric Property |
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C. |
Transitive Property (=) |
D. |
Distributive Property |
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Hint |
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11. |
For the proof shown, provide statement 3. |
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A. |
CD = EF |
B. |
AB = EF |
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C. |
AB = CD |
D. |
AB = BA |
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Hint |
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12. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, multiplication, and division |
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B. |
reflexive, symmetric, and substitution |
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C. |
reflexive, symmetric, and transitive |
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D. |
addition, subtraction, and multiplication |
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Hint |
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13. |
Write a truth table for p q. |
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A. |
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B. |
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C. |
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D. |
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14. |
Construct a truth table for  p q. |
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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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15. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
If two lines intersect, then their intersection is exactly one point. |
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B. |
Through any two points, there is exactly one line. |
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C. |
If two planes intersect, then their intersection is a line. |
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D. |
Through any three points not on the same line, there is exactly one plane. |
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Hint |
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16. |
If  and  form a linear pair and m = 72, find m. |
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A. |
72 |
B. |
108 |
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C. |
144 |
D. |
18 |
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Hint |
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