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1. |
Find DF if D is between E and F, ED = 6x - 4, DF = 3x + 5, and
EF = 46. |
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A. |
28 |
B. |
26 |
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C. |
20 |
D. |
22 |
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Hint |
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2. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
 intersects  at exactly two points. |
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B. |
is exactly 5 feet long. |
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C. |
 |
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D. |
None of the statements are true. |
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Hint |
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3. |
A ______________ is a diagram that can be used to illustrate a conditional. |
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A. |
tree diagram |
B. |
Venn diagram |
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C. |
flow chart |
D. |
bar graph |
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Hint |
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4. |
Find the measure of  if     , and  |
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A. |
110 |
B. |
65 |
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C. |
70 |
D. |
60 |
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Hint |
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5. |
If  which lines must be parallel? |
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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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6. |
Which statement cannot be used to prove  |
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A. |
slope  slope  |
B. |
 |
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C. |
 |
D. |
   |
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Hint |
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7. |
Which pair of triangles is congruent by the SSS Postulate? |
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A. |
 with vertices A(0, 2), B(-4, 2), and C(-4, -3)
and  with vertices D(1, 1), E(1, 5), and F(6, 5) |
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B. |
with vertices A(3, 3), B(3, 7), and C(-1, 7)
and with vertices D(0, 5), E(4, 5), and F(4, -2) |
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C. |
with vertices A(-2, -4), B(-6, 3), and
C(-2, 3) and with vertices D(3, 1), E(3, 6),
and F(-2, 6) |
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D. |
with vertices A(0, 7), B(0, 0), and C(-3, 0)
and with vertices D(5, 5), E(-2, 5), and F(-2, -2) |
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Hint |
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8. |
Refer to the figure. Is  longer than  Explain. |
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A. |
Yes; is the hypotenuse of  and  is a leg. |
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B. |
Yes; the shortest distance from a point to a line is a perpendicular segment. |
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C. |
All of these. |
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D. |
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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Hint |
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9. |
Which is an equation of the line with slope  and y-intercept  . |
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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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10. |
What three things are accepted as true without verification or proof? |
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A. |
conclusions, hypotheses, and postulates |
B. |
theorems, postulates, and undefined terms |
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C. |
definitions, postulates, and undefined terms. |
D. |
definitions, theorems, and postulates |
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Hint |
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11. |
The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. |
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A. |
130 |
B. |
60 |
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C. |
50 |
D. |
40 |
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Hint |
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12. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Symmetric Property |
B. |
Distributive Property |
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C. |
Reflexive Property (=) |
D. |
Transitive Property (=) |
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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 a line |
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C. |
Definition of Addition |
D. |
Definition of congruent segments |
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Hint |
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14. |
Which graph has a slope of zero? |
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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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15. |
Two triangles are necessarily congruent if and only if __________. |
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A. |
their corresponding sides and corresponding angles are congruent. |
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B. |
their corresponding sides and corresponding angles are congruent, and they are rotated to the same position. |
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C. |
two of their sides are congruent. |
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D. |
their corresponding angles are congruent. |
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Hint |
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16. |
Name the property that justifies if a < b, then a + c < b + c. |
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A. |
Transitive Property |
B. |
Addition Property |
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C. |
Comparison Property |
D. |
Subtraction Property |
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Hint |
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17. |
Find the length of the hypotenuse of this right triangle. |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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18. |
Triangle ABC has vertices A(2, 5), B(5, 2), and C(2, -1). Classify  ABC. |
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A. |
equilateral |
B. |
scalene |
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C. |
acute |
D. |
isosceles |
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Hint |
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19. |
Find the coordinates of O. |
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A. |
(0, 3 a) |
B. |
(0, 3Ka) |
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C. |
(a, 0) |
D. |
(3a, 0) |
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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 If 2n < 6, then n < 3. |
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A. |
n = 3 |
B. |
n > 3 |
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C. |
n < 3 |
D. |
n 3 |
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Hint |
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