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1. |
Name two lines that lie in plane ADH. |
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A. |
,  |
B. |
,  |
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C. |
,  |
D. |
,  |
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Hint |
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2. |
Find FG on the number line shown. |
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A. |
4.5 |
B. |
6.5 |
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C. |
9 |
D. |
5.5 |
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3. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
postulate |
B. |
theorem |
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C. |
proof |
D. |
definition |
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4. |
Find the coordinates of K, the midpoint of , if the endpoints of are M(-4,6) and N (2,5). |
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A. |
(-2, 6) |
B. |
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C. |
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D. |
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5. |
Find the measures of two supplementary angles, and if and  |
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A. |
37, 143 |
B. |
38, 142 |
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C. |
39, 141 |
D. |
36, 144 |
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6. |
If-then statements are also called ______________. |
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A. |
conclusions |
B. |
reasons |
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C. |
hypotheses |
D. |
conditionals |
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Hint |
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7. |
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 is a right isosceles triangle, then  |
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B. |
If then does not divide the circle into two equal halves. |
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C. |
If does not divide the circle into two equal halves, then  |
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D. |
If is not a right isosceles triangle, then  |
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8. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are even, then their sum is 32. |
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B. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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C. |
The sum of 8 and 24 must be even. |
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D. |
The sum of 8 and 24 must be odd. |
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Hint |
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9. |
Determine the value of z. |
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A. |
6 |
B. |
20 |
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C. |
48 |
D. |
8 |
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Hint |
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10. |
The polygon shown is |
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A. |
concave |
B. |
an octagon |
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C. |
regular |
D. |
a hexagon |
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Hint |
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11. |
Which is an equation of the line with slope 0 and passing through the point at (-2, 3)? |
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A. |
x = -2 |
B. |
y = -2x + 3 |
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C. |
y = 0 |
D. |
y = 3 |
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Hint |
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12. |
Which segment does not have a measure of 5? |
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A. |
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B. |
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C. |
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D. |
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13. |
Name a pair of angles that are adjacent and complementary. |
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A. |
NOM and POM |
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B. |
LON and POM |
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C. |
NOM and LON |
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D. |
QOP and NOP |
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Hint |
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14. |
Make a conjecture based on the following information. M is obtuse. |
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A. |
m M = 30 |
B. |
M is acute |
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C. |
m M is not 180 |
D. |
M is straight |
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Hint |
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15. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
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A. |
When you triple a number, the result must be an even number. |
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B. |
The result of doubling 317 is an even number. |
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C. |
If you double an odd number, the result is another odd number. |
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D. |
The result of doubling 234 is an odd number. |
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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 parallel to n. |
B. |
l and n are skew lines. |
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C. |
m is parallel to n. |
D. |
l is perpendicular to n. |
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Hint |
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17. |
Which statement needs to be true to prove  |
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A. |
4 1 |
B. |
m 1 + m 3 = 180° |
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C. |
1 2 |
D. |
1 3 |
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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 neither Spanish nor French? |
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A. |
25 |
B. |
14 |
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C. |
1 |
D. |
7 |
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Hint |
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19. |
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. |
A plane contains at least three points not on the same 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. |
Through any two points, there is exactly one 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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20. |
Which of the following best describes the front and back covers of a notebook when closed? |
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A. |
intersecting planes |
B. |
skew planes |
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C. |
a single plane |
D. |
parallel planes |
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Hint |
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