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1. |
Which figure shows points D(-1, -1), E(3, 4), F(-4, 2), and G(0, 2) on a coordinate plane with lines EF and DG intersecting at H and a point C that is coplanar with D, E, F, G, and H, but is not contained in either line? |
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A. |
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B. |
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C. |
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D. |
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2. |
Find RT for R(-2, 5) and T(-3, -6). Round to the nearest tenth. |
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A. |
10.6 |
B. |
9.8 |
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C. |
11.0 |
D. |
8.5 |
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Hint |
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3. |
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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4. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
inductive reasoning |
B. |
a conjecture |
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C. |
guessing |
D. |
deductive reasoning |
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Hint |
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5. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
An object is a square. |
B. |
An object is a rhombus. |
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C. |
If an object is an equilateral, then it is a square. |
D. |
If an object is a square, then it is an equilateral. |
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Hint |
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6. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
Develop a system of inductive reasoning. |
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B. |
List the given information. |
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C. |
State the theorem to be proved. |
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D. |
If possible, draw a diagram to illustrate the given information. |
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Hint |
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7. |
Triangle RST is isosceles with  as the vertex angle. If ST = 3x - 11, SR = x + 3, and RT = x - 2, find RT. |
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A. |
14 |
B. |
9 |
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C. |
7 |
D. |
5 |
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Hint |
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8. |
What is the measure of each angle of an equilateral triangle? |
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A. |
90° |
B. |
45° |
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C. |
30° |
D. |
60° |
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Hint |
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9. |
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. |
Triangle Inequality Theorem |
B. |
Triangle Equality Theorem |
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C. |
Definition of a Triangle |
D. |
Definition of an Inequality |
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Hint |
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10. |
In the figure,  is a median in   and  Which statement is always true? |
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A. |
If  then  is acute. |
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B. |
x = 12 |
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C. |
If  then RS < TS. |
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D. |
If  then  |
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Hint |
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11. |
In parallelogram FGHI,   _________. |
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A. |
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B. |
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C. |
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D. |
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12. |
Solve the proportion  . |
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A. |
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B. |
1 |
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C. |
3 |
D. |
9 |
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13. |
Find the value of x. |
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A. |
46.5 |
B. |
12.75 |
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C. |
24 |
D. |
35.25 |
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Hint |
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14. |
Which of the following statements is true? |
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A. |
 intersects plane M at point B. |
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B. |
intersects plane M at point C. |
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C. |
intersects plane M in two points. |
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D. |
The intersection of and plane M is  . |
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Hint |
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15. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
Assume what you are trying to prove is true. |
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B. |
State the theorem to be proved. |
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C. |
List the given information. |
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D. |
If possible, draw a diagram to illustrate the given information. |
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Hint |
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16. |
Which statement needs to be true to prove  |
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A. |
m 1 + m3 = 180° |
B. |
1 3 |
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C. |
4 1 |
D. |
1 2 |
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Hint |
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17. |
Solve the proportion  . |
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A. |
6 |
B. |
7 |
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C. |
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D. |
0 |
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18. |
C is ______________. |
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A. |
a right angle |
B. |
none of the other choices |
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C. |
an angle of elevation |
D. |
an angle of depression |
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Hint |
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19. |
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 both Spanish and French? |
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A. |
55 |
B. |
40 |
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C. |
15 |
D. |
1 |
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Hint |
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20. |
Find b in  TRG . |
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A. |
2.4 |
B. |
3.5 |
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C. |
2.8 |
D. |
4.9 |
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Hint |
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