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1. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
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A. |
A, B, and C form a right triangle. |
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B. |
A, B, and C are noncollinear. |
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C. |
A, B, and C form on equilateral triangle. |
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D. |
A, B, and C are collinear. |
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Hint |
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2. |
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz. |
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A. |
Ralph does his math homework. |
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B. |
He will get a good grade on the quiz. |
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C. |
He will not get a good grade on the quiz. |
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D. |
Ralph may do his math homework. |
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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  then does not divide the circle into two equal halves. |
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B. |
If is a right isosceles triangle, then  |
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C. |
If is not a right isosceles triangle, then  |
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D. |
If does not divide the circle into two equal halves, then  |
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Hint |
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4. |
For the proof shown, provide the reason for part c. |
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A. |
Subtraction Property of Equality |
B. |
Multiplication Property of Equality |
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C. |
Division Property of Equality |
D. |
Addition Property of Equality |
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Hint |
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5. |
In the figure shown,  is complementary to  and is complementary to  . Which statement is true if none of the measures of the angles equal 45? |
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A. |
 |
B. |
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C. |
is complementary to itself. |
D. |
is complementary to . |
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Hint |
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6. |
Find the slope of the line. |
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A. |
 |
B. |
4 |
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C. |
0 |
D. |
 |
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Hint |
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7. |
The Parallel Postulate states, ''If there is a line and a point not on the line, then there exists _______________ line through the point that is parallel to the given line.'' |
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A. |
no |
B. |
infinitely many |
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C. |
more than one |
D. |
exactly one |
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Hint |
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8. |
Find the distance from G(-3, -1) to the line whose equation is y = 4. |
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A. |
5 |
B. |
3 |
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C. |
2 |
D. |
4 |
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Hint |
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9. |
Find the distance from K(0, -1) to the line whose equation is y = 2x + 4. |
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A. |
 |
B. |
 |
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C. |
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D. |
2 |
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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. |
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D. |
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Hint |
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11. |
Name a point on the interior of  BGD. |
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A. |
A |
B. |
G |
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C. |
C |
D. |
D |
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Hint |
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12. |
Which of the following best describesAGF? |
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A. |
right |
B. |
acute |
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C. |
obtuse |
D. |
straight |
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Hint |
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13. |
What three properties hold true for congruence of segments? |
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A. |
addition, subtraction, and multiplication |
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B. |
reflexive, multiplication, and division |
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C. |
reflexive, symmetric, and substitution |
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D. |
reflexive, symmetric, and transitive |
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Hint |
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14. |
Find the value of x so the line that passes through (x, 6) and (10,-3) is parallel to the line that passes through (7, 2) and (6, 11) |
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A. |
-71 |
B. |
1 |
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C. |
9 |
D. |
-9 |
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Hint |
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15. |
Determine the slope of the line parallel to the line shown. |
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A. |
1 |
B. |
0 |
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C. |
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D. |
-1 |
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Hint |
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16. |
Graph the line that is perpendicular to the graph of the equation  that passes through the point (5,0). |
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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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17. |
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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18. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied both Spanish and French? |
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A. |
55 |
B. |
1 |
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C. |
40 |
D. |
15 |
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Hint |
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19. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied Spanish or French? |
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A. |
56 |
B. |
63 |
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C. |
55 |
D. |
25 |
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Hint |
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20. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied neither Spanish nor French? |
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A. |
25 |
B. |
1 |
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C. |
7 |
D. |
14 |
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Hint |
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