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1. |
For the proof shown, provide the reason for part c. |
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A. |
Subtraction Property of Equality |
B. |
Addition Property of Equality |
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C. |
Division Property of Equality |
D. |
Multiplication Property of Equality |
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Hint |
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2. |
For the proof shown, provide the reason for part f. |
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A. |
Definition of Addition |
B. |
Definition of a line |
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C. |
Symmetric Property of Equality |
D. |
Definition of congruent segments |
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Hint |
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3. |
Determine the value of z. |
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A. |
8 |
B. |
6 |
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C. |
48 |
D. |
20 |
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Hint |
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4. |
What is the measure of each angle of an equilateral triangle? |
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A. |
45° |
B. |
30° |
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C. |
90° |
D. |
60° |
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Hint |
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5. |
Which statement is true? |
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A. |
Any two isosceles triangles are similar. |
B. |
Any two right triangles are similar. |
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C. |
Any two equilateral triangles are similar. |
D. |
Any two triangles are similar. |
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Hint |
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6. |
Which is an equation of the line with slope and y-intercept . |
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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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7. |
OBCD is a square. What are the coordinates of D? |
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A. |
(a, 2a) |
B. |
(a, a) |
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C. |
(0, 0) |
D. |
(0, a) |
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Hint |
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8. |
has vertices A(3, 7), B(-2, 1), and C(4, -1). Suppose the triangle is rotated 180° to form . What are the coordinates of B'? |
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A. |
(-2, -1) |
B. |
(1, -2) |
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C. |
(2, 1) |
D. |
(2, -1) |
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Hint |
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9. |
Find PQ for P(2, 7) and Q(-4, 2). Round to the nearest tenth. |
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A. |
5.4 |
B. |
6 |
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C. |
7.8 |
D. |
-7.8 |
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Hint |
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10. |
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. |
(6,1) |
D. |
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Hint |
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11. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
counterexample |
B. |
possibility |
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C. |
guess |
D. |
theorem |
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Hint |
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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. |
conclusion, hypothesis |
B. |
conjecture, justification |
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C. |
statement, reason |
D. |
hypothesis, conclusion |
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Hint |
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13. |
Since AAS is a theorem and SSS, SAS, and ASA are all postulates, ___________________. |
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A. |
AAS is technically the only way to prove two triangles to be congruent. |
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B. |
AAS can be proven, but SSS, SAS, and ASA are just accepted as facts. |
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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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14. |
In isosceles PQR with base , PQ = 2x + 3, and PR = 9x - 11. What is the value of x? |
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A. |
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B. |
7 |
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C. |
-7 |
D. |
2 |
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Hint |
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15. |
In which picture is an angle bisector? |
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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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16. |
What is the relationship between AM and BM? |
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A. |
AM = BM |
B. |
AM > BM |
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C. |
It cannot be determined with the information given. |
D. |
AM < BM |
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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. |
15 |
B. |
21 |
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C. |
27 |
D. |
4 |
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Hint |
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18. |
Which letter shown has only one line of symmetry? |
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A. |
P |
B. |
O |
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C. |
X |
D. |
A |
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Hint |
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19. |
If C (-2, 3) is reflected over the line y = x, what are its new coordinates? |
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A. |
(2, -1) |
B. |
(2, -3) |
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C. |
(3, 2) |
D. |
(3, -2) |
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Hint |
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20. |
State the assumption that could be used to start an indirect proof of the statement AB + BC > DE. |
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A. |
AB + BC DE |
B. |
AB + BC = DE |
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C. |
AB + BC DE |
D. |
AB + BC < DE |
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Hint |
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