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1. |
Find DF if D is between E and F, ED = 6x - 4, DF = 3x + 5, and
EF = 46. |
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A. |
22 |
B. |
20 |
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C. |
28 |
D. |
26 |
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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. |
Daniel will buy Jasmine irises. |
B. |
More customers buy roses than carnations. |
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C. |
The salesperson likes carnations. |
D. |
Jasmine will be excited to receive flowers for her birthday. |
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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. |
The flowers are not daffodils. |
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B. |
If the flowers are daffodils, then they are yellow. |
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C. |
The flowers are not yellow. |
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D. |
If the flowers are not yellow, then they are not daffodils. |
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Hint |
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4. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
reasonable doubt |
B. |
inductive reasoning |
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C. |
detachment reasoning |
D. |
deductive reasoning |
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Hint |
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5. |
Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS. |
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A. |
Distributive Property (=) |
B. |
Substitution Property (=) |
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C. |
Symmetric Property (=) |
D. |
Reflexive Property (=) |
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Hint |
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6. |
Find the distance from G(-3, -1) to the line whose equation is y = 4. |
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A. |
2 |
B. |
5 |
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C. |
3 |
D. |
4 |
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Hint |
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7. |
Classify  |
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A. |
acute |
B. |
equiangular |
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C. |
obtuse |
D. |
right |
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Hint |
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8. |
Refer to the design shown. How many of the triangles in the design appear to be congruent to triangle A? |
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A. |
8 |
B. |
10 |
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C. |
6 |
D. |
12 |
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Hint |
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9. |
Refer to the figure. If  bisects  and  then
 _____ by _____. |
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A. |
 by SAS |
B. |
by AAS |
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C. |
by ASA |
D. |
by SSS |
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Hint |
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10. |
Which is an equation of the line with slope  and y-intercept  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Find ST if S is between R and T, SR = 2x + 7, ST = x - 6, and RT = 100 |
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A. |
27 |
B. |
74 |
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C. |
99 |
D. |
33 |
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Hint |
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12. |
Find x if Q is the midpoint of  PQ = 19, and PR = 8x + 14. |
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A. |
3 |
B. |
 |
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C. |
7 |
D. |
14 |
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Hint |
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13. |
The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. |
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A. |
40 |
B. |
50 |
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C. |
60 |
D. |
130 |
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Hint |
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14. |
What is a valid conclusion to the following hypothesis?
If there are two points... |
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A. |
There are no lines containing both points. |
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B. |
There are an infinite number of lines containing both points. |
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C. |
There is one line containing both points. |
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D. |
There are two lines containing both points. |
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Hint |
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15. |
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. |
The measures of supplementary angles add up to 180. |
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B. |
Supplementary angles form a linear pair. |
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C. |
A linear pair is formed by supplementary angles. |
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D. |
The sum of the measures of the angles in a linear pair is 180. |
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Hint |
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16. |
If line m and n are parallel and l is perpendicular to m, then ______. |
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A. |
l is perpendicular to n. |
B. |
m is parallel to n. |
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C. |
l is parallel to n. |
D. |
l and n are skew lines. |
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Hint |
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17. |
 ABC is ______. |
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 |
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A. |
equilateral |
B. |
scalene but not acute |
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C. |
scalene and acute |
D. |
isosceles and scalene |
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Hint |
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18. |
Find the coordinates of B for the equilateral triangle. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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19. |
What is the precision of a measurement of  feet? |
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A. |
 ft |
B. |
 ft |
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C. |
1 in. |
D. |
1 ft |
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Hint |
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20. |
If  and  lie in plane P. Which of the following postulates can be used to show that  lies in plane P? |
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A. |
Through any two points, there is exactly one line. |
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B. |
If two points lie in a plane, then the entire line containing those points lies in that plane. |
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C. |
A plane contains at least three points not on the same line. |
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D. |
If two planes intersect, then their intersection is a line. |
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Hint |
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