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1. |
Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS. |
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A. |
Reflexive Property (=) |
B. |
Distributive Property (=) |
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C. |
Substitution Property (=) |
D. |
Symmetric Property (=) |
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Hint |
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2. |
If  and  are vertical angles and  and  find  |
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A. |
43 |
B. |
72 |
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C. |
23 |
D. |
68 |
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Hint |
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3. |
Find the value of x. |
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A. |
54 |
B. |
145 |
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C. |
126 |
D. |
110 |
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Hint |
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4. |
Determine the value of z. |
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A. |
6 |
B. |
48 |
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C. |
8 |
D. |
20 |
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Hint |
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5. |
Find the distance from G(-3, -1) to the line whose equation is y = 4. |
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A. |
3 |
B. |
5 |
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C. |
2 |
D. |
4 |
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Hint |
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6. |
Which figure shows  with m M = 90; mP > mN, and MP < MN? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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7. |
What is the value of n? |
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A. |
24 |
B. |
14 |
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C. |
9 |
D. |
26 |
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Hint |
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8. |
In the figure shown,  is an exterior angle of  Which
statement is correct? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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9. |
Refer to the figure. Is  longer than  Explain. |
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A. |
Yes; the measure of the angle opposite is 90 and the measure of the angle opposite  must be less than 90 because the sum of the measures of the angles must be 180. |
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B. |
Yes; is the hypotenuse of  and is a leg. |
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C. |
Yes; the shortest distance from a point to a line is a perpendicular segment. |
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D. |
All of these. |
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Hint |
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10. |
The _______________ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
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A. |
Definition of a Triangle |
B. |
Triangle Equality Theorem |
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C. |
Triangle Inequality Theorem |
D. |
Definition of an Inequality |
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Hint |
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11. |
Which inequality describes the range of possible values for x? |
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A. |
x < 14 |
B. |
4 < x < 14 |
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C. |
x < 4 and x > 14 |
D. |
-6 < x < 14 |
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Hint |
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12. |
Which segment does not have a measure of 5? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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13. |
If two angles form a linear pair, they are _______. |
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A. |
vertical |
B. |
complementary |
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C. |
supplementary |
D. |
congruent |
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Hint |
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14. |
Name the property that justifies the statement. ''If 2x = 12, then x = 6''. |
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A. |
Symmetric Property |
B. |
Multiplication Property (=) |
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C. |
Division Property (=) |
D. |
Transitive Property (=) |
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Hint |
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15. |
Which statement justifies the conclusion that if b and c are both perpendicular to a, then they are parallel? |
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A. |
If two lines are parallel to the same line, then they are parallel. |
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B. |
If two lines are perpendicular to the same line, then they are parallel. |
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C. |
If two lines are perpendicular to the same line, then they are perpendicular. |
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D. |
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. |
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Hint |
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16. |
Since AAS is a theorem and SSS, SAS, and ASA are all postulates, ___________________. |
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A. |
AAS is a less reliable way to see if two triangles are 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 is technically the only way to prove two triangles to be congruent. |
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D. |
AAS cannot be proven. |
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Hint |
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17. |
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall? |
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A. |
15 and 20 |
B. |
10 and 35 |
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C. |
5 and 35 |
D. |
10 and 25 |
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Hint |
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18. |
In the figure,  ,  ,  , and  Write an inequality for the possible values of x. |
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A. |
x >  |
B. |
x < -2 |
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C. |
x >  |
D. |
x >  |
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Hint |
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19. |
What is an acceptable range for a measurement of 60.5 centimeters? |
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A. |
604.5 mm to 605.5 mm |
B. |
60 cm to 61 cm |
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C. |
604 mm to 606 mm |
D. |
60.25 cm to 60.75 cm |
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Hint |
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20. |
Find the perimeter of  with vertices D(2, -2), E(-5, 1), and F(0, 6). |
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A. |
57.4 units |
B. |
11.5 units |
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C. |
14.2 units |
D. |
23.0 units |
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Hint |
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