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1. |
Which segment has a measure of 7? |
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A. |
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B. |
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C. |
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D. |
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2. |
Find the coordinate of the midpoint of  . |
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A. |
1.5 |
B. |
-0.5 |
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C. |
-1.5 |
D. |
0.5 |
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3. |
Which inequality describes all of the possible values for a if is an obtuse angle and m=2a + 8? |
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A. |
41 > a > 86 |
B. |
41 > a < 86 |
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C. |
41 < a > 86 |
D. |
41 < a < 86 |
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4. |
For the proof shown, provide statement 2. |
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A. |
AC = DE, AB = DF |
B. |
AC = DF, BC = EF |
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C. |
AB = DE |
D. |
AB = BC, DE = EF |
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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. |
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B. |
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C. |
is complementary to itself. |
D. |
is complementary to . |
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6. |
Find PQ for P(2, 7) and Q(-4, 2). Round to the nearest tenth. |
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A. |
5.4 |
B. |
-7.8 |
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C. |
7.8 |
D. |
6 |
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7. |
Find the coordinates of R, the midpoint of  , if the endpoints of are Q(3, -5) and S(-3, 6). |
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A. |
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B. |
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C. |
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D. |
(6,1) |
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8. |
Name a point on the interior of  BGD. |
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A. |
D |
B. |
C |
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C. |
G |
D. |
A |
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9. |
Name a pair of angles that are adjacent and complementary. |
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A. |
LON andPOM |
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B. |
NOM andLON |
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C. |
QOP andNOP |
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D. |
NOM andPOM |
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10. |
An angle is double its complement. Find the angle. |
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A. |
30 |
B. |
60 |
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C. |
45 |
D. |
90 |
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11. |
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. |
Supplementary angles form a linear pair. |
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D. |
The measures of supplementary angles add up to 180. |
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12. |
The starting point of a proof is the _____ of the conditional and the end is the _____ of the conditional. |
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A. |
hypothesis, conclusion |
B. |
statement, reason |
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C. |
conclusion, hypothesis |
D. |
conjecture, justification |
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Hint |
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13. |
For the proof shown, provide the reason for part d. |
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A. |
Definition of Addition |
B. |
Symmetric Property (=) |
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C. |
Definition of congruent segments |
D. |
Definition of a line |
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14. |
Which statement explains why  |
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A. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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B. |
Angles supplementary to the same angle are congruent. |
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C. |
If two angles form a linear pair, then they are supplementary. |
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D. |
All right angles are congruent. |
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15. |
In the picture, and are vertical. If  then what is  |
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A. |
81 |
B. |
90 |
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C. |
162 |
D. |
28 |
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16. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
truth value |
B. |
disjunction |
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C. |
conjunction |
D. |
negation |
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17. |
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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18. |
Which of the following statements is not a postulate? |
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A. |
Points that lie of the same plane are said to be coplanar. |
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B. |
Through any two points, there is exactly one line. |
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C. |
If two lines intersect, then their intersection is exactly one point. |
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D. |
A plane contains at least three points not on the same line. |
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19. |
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. |
Through any three points not on the same line, there is exactly one plane. |
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C. |
Through any two points, there is exactly one line. |
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D. |
If two lines intersect, then their intersection is exactly one point. |
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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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