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1. |
Refer to the figure. If G is the midpoint of , which conjecture is true? |
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A. |
None of the statements are true. |
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B. |
is exactly 5 feet long. |
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D. |
intersects at exactly two points. |
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2. |
If-then statements are also called ______________. |
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A. |
conditionals |
B. |
conclusions |
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C. |
hypotheses |
D. |
reasons |
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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 yellow. |
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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 daffodils. |
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Hint |
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4. |
Which statement explains why  |
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A. |
Vertical angles are congruent. |
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B. |
All right angles are congruent. |
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C. |
Angles complementary to the same angle or to congruent angles are congruent. |
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D. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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5. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
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A. |
When you triple a number, the result must be an even number. |
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B. |
If you double an odd number, the result is another odd number. |
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C. |
The result of doubling 317 is an even number. |
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D. |
The result of doubling 234 is an odd number. |
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6. |
Which statement explains why  |
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A. |
Angles supplementary to the same angle are congruent. |
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B. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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C. |
If two angles form a linear pair, then they are supplementary. |
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D. |
All right angles are congruent. |
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Hint |
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7. |
Find the next three terms in the sequence 10, 15, 25, 40, …. |
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A. |
45, 50, 55 |
B. |
55, 70, 85 |
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C. |
60, 85, 115 |
D. |
65, 100, 145 |
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8. |
A well-defined collection of items is called a ___?___. |
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element |
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set |
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complement |
D. |
member |
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9. |
Which answer shows all the possible subsets of {3,7}? |
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A. |
{3}, {7}, |
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C. |
{3,7}, |
D. |
{3,7}, {3}, {7},  |
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10. |
If A= {0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find  |
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A. |
{-3, -2, -1, 0, 1, 2, 3, 4} |
B. |
{0} |
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C. |
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D. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
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11. |
If A = {12, 13, 14, 16, 18} and B = {1, 2, 3, 4, 5, 6}. Which shows A B? |
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A. |
{12, 13, 14, 16, 18} |
B. |
{1,2,3,4,5,6,12,13} |
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D. |
{1, 2, 3, 4, 5, 6} |
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Hint |
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12. |
What is the contrapositive of the conditional If two angles are vertical angles then they have equal measures? |
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A. |
If two angles are vertical angles then they do not have equal measures. |
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B. |
If two angles are not vertical angles then they do not have equal measures. |
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C. |
If two angles do not have equal measures then they are not vertical angles. |
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D. |
If two angles have equal measure then they are vertical angles. |
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Hint |
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13. |
What is the inverse of the conditional If two angles are vertical angles then they have equal measures? |
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A. |
If two angles do not have equal measures then they are not vertical angles. |
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B. |
If two angles are vertical angles then they do not have equal measures. |
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C. |
If two angles are not vertical angles then they do not have equal measures. |
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D. |
If two angles have equal measure then they are vertical angles. |
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Hint |
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14. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If two angles are vertical angles then they are congruent. |
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A. |
The angles are not vertical angles; valid |
B. |
The angles are vertical angles; invalid |
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C. |
The angles are not vertical angles; invalid |
D. |
The angles are vertical angles; valid |
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Hint |
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