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1. |
Which figure shows points D(-1, -1), E(3, 4), F(-4, 2), and G(0, 2) on a coordinate plane with lines EF and DG intersecting at H and a point C that is coplanar with D, E, F, G, and H, but is not contained in either line? |
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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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2. |
Find FG on the number line shown. |
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A. |
6.5 |
B. |
5.5 |
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C. |
4.5 |
D. |
9 |
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Hint |
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3. |
Find the measures of two supplementary angles, and  if  and  |
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A. |
38, 142 |
B. |
39, 141 |
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C. |
37, 143 |
D. |
36, 144 |
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Hint |
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4. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
 |
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B. |
 intersects  at exactly two points. |
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C. |
None of the statements are true. |
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D. |
is exactly 5 feet long. |
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Hint |
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5. |
If-then statements are also called ______________. |
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A. |
conclusions |
B. |
hypotheses |
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C. |
conditionals |
D. |
reasons |
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Hint |
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6. |
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 do not form a triangle, then they are noncollinear. |
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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 are not noncollinear, then they do not form a triangle. |
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Hint |
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7. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
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A. |
Law of Deductive Reasoning |
B. |
Law of Syllogism |
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C. |
Law of Conditional |
D. |
Law of Detachment |
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Hint |
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8. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
If possible, draw a diagram to illustrate the given information. |
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B. |
State the theorem to be proved. |
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C. |
Develop a system of inductive reasoning. |
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D. |
List the given information. |
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Hint |
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9. |
For the proof shown, provide statement 5. |
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A. |
AB = EF |
B. |
BC = EF |
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C. |
AC = DF |
D. |
AB = DE |
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Hint |
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10. |
The polygon shown is |
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A. |
regular |
B. |
an octagon |
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C. |
a hexagon |
D. |
concave |
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Hint |
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11. |
If m DGE = 52 and FGE is a right angle, what is the measure of DGF? |
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A. |
142 |
B. |
38 |
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C. |
45 |
D. |
71 |
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Hint |
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12. |
If two angles form a linear pair, they are _______. |
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A. |
supplementary |
B. |
complementary |
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C. |
vertical |
D. |
congruent |
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Hint |
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13. |
What is a valid conclusion to the following hypothesis?
If there are two points... |
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A. |
There are an infinite number of lines containing both points. |
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B. |
There are two lines containing both points. |
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C. |
There is one line containing both points. |
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D. |
There are no lines containing both points. |
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Hint |
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14. |
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. |
The sum of the measures of the angles in a linear pair is 180. |
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C. |
A linear pair is formed by supplementary angles. |
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D. |
Supplementary angles form a linear pair. |
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Hint |
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15. |
Name the property that justifies the statement. ''If 2x = 12, then x = 6''. |
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A. |
Multiplication Property (=) |
B. |
Division Property (=) |
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C. |
Symmetric Property |
D. |
Transitive Property (=) |
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Hint |
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16. |
Two angles are congruent if they are ______. |
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A. |
vertical |
B. |
a linear pair |
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C. |
supplementary |
D. |
adjacent |
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Hint |
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17. |
Find the precision for a measurement of 24 meters. |
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A. |
1 m |
B. |
5 m |
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C. |
10 m |
D. |
0.5 m |
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Hint |
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18. |
Find the perimeter of  with vertices D(2, -2), E(-5, 1), and F(0, 6). |
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A. |
23.0 units |
B. |
57.4 units |
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C. |
14.2 units |
D. |
11.5 units |
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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 both Spanish and French? |
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A. |
15 |
B. |
55 |
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C. |
1 |
D. |
40 |
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Hint |
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20. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Ruler Postulate |
B. |
Whole Segment Postulate |
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C. |
Addition Property of Congruence |
D. |
Segment Addition Postulate |
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Hint |
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