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1. |
Find the coordinate of the midpoint of  . |
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A. |
0.5 |
B. |
-0.5 |
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C. |
1.5 |
D. |
-1.5 |
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Hint |
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2. |
If  and  is a right angle, what is the measure of  |
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A. |
125 |
B. |
135 |
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C. |
145 |
D. |
130 |
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Hint |
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3. |
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 are not noncollinear, then they do not form a triangle. |
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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 do not form a triangle, then they are noncollinear. |
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Hint |
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4. |
Complete the proof. |
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A. |
Transitive Property |
B. |
Substitution Property (=) |
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C. |
Addition Property (=) |
D. |
Angle Addition Property |
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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 . |
D. |
is complementary to itself. |
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Hint |
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6. |
Find the value of x. |
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A. |
54 |
B. |
126 |
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C. |
110 |
D. |
145 |
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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. |
exactly one |
D. |
more than one |
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Hint |
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8. |
Which figure is not a polygon? |
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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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9. |
Which is an equation of the line with slope  and passing through the point at (1, 2)? |
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A. |
 |
B. |
 |
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C. |
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D. |
y = 2x + 1 |
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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. |
Which of the following statements is true? |
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A. |
 intersects plane M in two points. |
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B. |
The intersection of and plane M is  . |
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C. |
intersects plane M at point B. |
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D. |
intersects plane M at point C. |
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Hint |
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12. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Transitive Property (=) |
B. |
Distributive Property |
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C. |
Reflexive Property (=) |
D. |
Symmetric Property |
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Hint |
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13. |
Which cannot be used as a reason in a proof? |
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A. |
postulates |
B. |
conjectures |
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C. |
Definitions |
D. |
Algebra properties |
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Hint |
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14. |
For the proof shown, provide statement 3. |
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A. |
CD = EF |
B. |
AB = CD |
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C. |
AB = EF |
D. |
AB = BA |
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Hint |
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15. |
If  1 and 2 form a linear pair and m1 = 2x + 16 and
m2 = 50x + 60, find m2. |
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A. |
20 |
B. |
160 |
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C. |
180 |
D. |
80 |
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Hint |
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16. |
Find the slope of the line. |
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A. |
-1 |
B. |
3 |
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C. |
1 |
D. |
0 |
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Hint |
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17. |
Determine the slope of the line parallel to the line shown. |
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A. |
-1 |
B. |
1 |
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C. |
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D. |
0 |
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Hint |
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18. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
conjunction |
B. |
disjunction |
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C. |
truth value |
D. |
negation |
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Hint |
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19. |
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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20. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
If two planes intersect, then their intersection is a line. |
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B. |
If two lines intersect, then their intersection is exactly one point. |
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C. |
Through any two points, there is exactly one line. |
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D. |
Through any three points not on the same line, there is exactly one plane. |
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Hint |
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