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1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
postulate |
B. |
proof |
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C. |
definition |
D. |
theorem |
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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. |
More customers buy roses than carnations. |
B. |
Jasmine will be excited to receive flowers for her birthday. |
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C. |
The salesperson likes carnations. |
D. |
Daniel will buy Jasmine irises. |
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Hint |
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3. |
In the figure, points A and B are on circle C and 
Write the contra positive of the true conditional.
Conditional 1: If  then  is a right isosceles triangle.
Conditional 2: If  then  divides the circle into two equal halves. |
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A. |
If does not divide the circle into two equal halves, then  |
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B. |
If is not a right isosceles triangle, then  |
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C. |
If  then does not divide the circle into two equal halves. |
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D. |
If is a right isosceles triangle, then  |
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Hint |
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4. |
Find the number of different segments formed by 8 collinear points. |
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A. |
27 |
B. |
28 |
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C. |
36 |
D. |
21 |
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Hint |
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5. |
For the proof shown, provide statement 2. |
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A. |
AB = BC, DE = EF |
B. |
AC = DE, AB = DF |
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C. |
AB = DE |
D. |
AC = DF, BC = EF |
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Hint |
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6. |
All right angles are ____________. |
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A. |
congruent |
B. |
transitive |
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C. |
complementary |
D. |
180° |
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Hint |
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7. |
Make a conjecture based on the following information.  M is obtuse. |
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A. |
M is straight |
B. |
M is acute |
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C. |
mM = 30 |
D. |
mM is not 180 |
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Hint |
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8. |
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. |
A linear pair is formed by supplementary angles. |
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B. |
The sum of the measures of the angles in a linear pair is 180. |
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C. |
The measures of supplementary angles add up to 180. |
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D. |
Supplementary angles form a linear pair. |
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Hint |
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9. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Transitive Property (=) |
B. |
Symmetric Property |
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C. |
Distributive Property |
D. |
Reflexive Property (=) |
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Hint |
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10. |
Which cannot be used as a reason in a proof? |
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A. |
Algebra properties |
B. |
conjectures |
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C. |
postulates |
D. |
Definitions |
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Hint |
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11. |
For the proof shown, provide the reason for part d. |
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A. |
Definition of Addition |
B. |
Definition of congruent segments |
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C. |
Definition of a line |
D. |
Symmetric Property (=) |
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Hint |
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12. |
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. |
Angles supplementary to the same angle are congruent. |
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C. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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D. |
All right angles are congruent. |
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Hint |
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13. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
negation |
B. |
disjunction |
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C. |
conjunction |
D. |
truth value |
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Hint |
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14. |
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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Hint |
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15. |
Which statement is the inverse of the statement angles with the same measure are congruent? |
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A. |
If two angles do not have the same measure, then they are not congruent. |
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B. |
If two angles have the same measure, then they are congruent. |
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C. |
If two angles are not congruent, then they do not have the same measure. |
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D. |
If two angles are congruent, then they have the same measure. |
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Hint |
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16. |
Determine the number of line segments that can be drawn connecting pairs of points shown. |
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A. |
8 |
B. |
10 |
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C. |
6 |
D. |
4 |
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Hint |
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