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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
a conjecture |
B. |
deductive reasoning |
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C. |
inductive reasoning |
D. |
guessing |
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Hint |
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2. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
is exactly 5 feet long. |
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B. |
 intersects  at exactly two points. |
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C. |
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D. |
None of the statements are true. |
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Hint |
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3. |
If-then statements are also called ______________. |
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A. |
hypotheses |
B. |
conditionals |
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C. |
reasons |
D. |
conclusions |
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Hint |
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4. |
Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle. |
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A. |
If three points do not form a triangle, then they are noncollinear. |
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B. |
If three points form a triangle, then they are noncollinear. |
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C. |
If three points do not form a triangle, then they are not noncollinear. |
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D. |
If three points are not noncollinear, then they do not form a triangle. |
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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 even, then their sum is 32. |
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B. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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C. |
The sum of 8 and 24 must be odd. |
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D. |
The sum of 8 and 24 must be even. |
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Hint |
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6. |
Which statement explains why  |
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A. |
If two angles form a linear pair, then they are supplementary. |
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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. |
All right angles are congruent. |
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D. |
Angles supplementary to the same angle are congruent. |
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Hint |
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7. |
Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1. |
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A. |
3x + 10 = 13 |
B. |
3x |
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C. |
x = 1 |
D. |
3x + 10 |
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Hint |
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8. |
Which notation is not correct notation to define a set? |
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A. |
W = {x|x is an integer} |
B. |
W = set of integers |
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C. |
W represents an integer |
D. |
W = {... -2, -1, 0, 1, 2 ...} |
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Hint |
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9. |
Which answer shows all the possible subsets of {2,4,5}? |
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A. |
{2}, {4}, {5}, {2,4}, {2,5}, {4,5}, |
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B. |
{2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5}, |
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C. |
{2,4,5},{2}, {4}, {5}, |
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D. |
{2,4,5},{2}, {4}, {5}, {2,4}, {2,5}, {4,5} |
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Hint |
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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, 2, 4, 6, 8} |
B. |
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C. |
{2,4,6,8} |
D. |
{-3, -2, -1, 0} |
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Hint |
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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. |
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C. |
{1, 2, 3, 4, 5, 6} |
D. |
{1,2,3,4,5,6,12,13} |
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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 not vertical angles then they do not have equal measures. |
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B. |
If two angles do not have equal measures then they are not vertical angles. |
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C. |
If two angles are 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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13. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If a flower is a rose then it has red petals. |
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A. |
The flower has red petals; invalid |
B. |
The flower is not a rose; invalid |
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C. |
The flower has red petals; valid |
D. |
The flower is not a rose; valid |
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Hint |
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14. |
Using the diagram, if XY = WZ, what logical conclusion can be drawn? |
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A. |
XW = YZ |
B. |
XY + WZ = WY |
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C. |
XY = 2WZ |
D. |
YW – WZ = XY |
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Hint |
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