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1. |
Name a pair of angles that are adjacent, but not complementary or supplementary. |
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A. |
and |
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B. |
and |
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C. |
and |
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D. |
and |
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Hint |
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2. |
''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. |
The sum of 8 and 24 must be even. |
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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 odd. |
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D. |
If the numbers 8 and 24 are even, then their sum is 32. |
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Hint |
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3. |
For the proof shown, provide statement 5. |
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A. |
AB = DE |
B. |
BC = EF |
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C. |
AC = DF |
D. |
AB = EF |
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Hint |
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4. |
Refer to the figure shown. Name the vertices of the equilateral triangle. |
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A. |
U, V, Z |
B. |
U, Z, W |
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C. |
X, Y, Z |
D. |
W, X, Y |
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Hint |
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5. |
The quadrilateral below is a parallelogram because_______. |
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A. |
it is a square |
B. |
the diagonals are not congruent |
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C. |
the diagonals are perpendicular |
D. |
the diagonals bisect each other |
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Hint |
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6. |
What is the geometric mean between and 12? |
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A. |
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B. |
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C. |
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D. |
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7. |
Find the value of y. |
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A. |
2 |
B. |
24 |
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C. |
9 |
D. |
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Hint |
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8. |
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot. |
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A. |
235.2 ft |
B. |
10.6 ft |
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C. |
48.9 ft |
D. |
10.4 ft |
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Hint |
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9. |
In , n = 8, m = 16, and = 32. Find to the nearest tenth. |
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A. |
15.4 |
B. |
24.7 |
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C. |
132.6 |
D. |
123.3 |
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Hint |
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10. |
Refer to circle C. Find the value of x. |
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A. |
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B. |
13 |
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C. |
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D. |
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Hint |
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11. |
Which is an equation of the line with slope and passing through the point at (1, 2)? |
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A. |
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B. |
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C. |
y = 2x + 1 |
D. |
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Hint |
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12. |
In quadrilateral ABCD, _____. |
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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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13. |
For the proof shown, provide the reason for part d. |
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A. |
Symmetric Property (=) |
B. |
Definition of Addition |
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C. |
Definition of congruent segments |
D. |
Definition of a line |
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Hint |
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14. |
Since AAS is a theorem and SSS, SAS, and ASA are all postulates, ___________________. |
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A. |
AAS can be proven, but SSS, SAS, and ASA are just accepted as facts. |
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B. |
AAS is technically the only way to prove two triangles to be congruent. |
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C. |
AAS cannot be proven. |
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D. |
AAS is a less reliable way to see if two triangles are congruent. |
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Hint |
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15. |
Name the property that justifies that if a is less than b, then a cannot be greater than b. |
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A. |
Subtraction Property |
B. |
Comparison Property |
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C. |
Transitive Property |
D. |
Multiplication Property |
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Hint |
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16. |
In the picture shown, and CD > AD. What is the relationship between ABD and CBD? |
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A. |
m ABD > m CBD |
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B. |
m ABD < m CBD |
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C. |
m ABD = m CBD |
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D. |
ABD CBD |
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Hint |
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17. |
Given that is the median of trapezoid ZYXW, find the value of x. |
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A. |
21 |
B. |
27 |
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C. |
15 |
D. |
4 |
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Hint |
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18. |
The two triangles shown are similar by __________. |
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A. |
ASA Similarity |
B. |
SSS Similarity |
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C. |
AA Similarity |
D. |
SAS Similarity |
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Hint |
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19. |
In the figure, . If FH = 12, HJ = 3, and the perimeter of HIJ = 13, then what is the perimeter of FGH? |
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A. |
52 |
B. |
25 |
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C. |
48 |
D. |
36 |
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Hint |
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20. |
Write the equation of the line perpendicular to that passes through the point (3,-13) |
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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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