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1. |
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. |
If possible, draw a diagram to illustrate the given information. |
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C. |
State the theorem to be proved. |
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D. |
List the given information. |
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Hint |
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2. |
What three things are accepted as true without verification or proof? |
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A. |
definitions, theorems, and postulates |
B. |
conclusions, hypotheses, and postulates |
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C. |
definitions, postulates, and undefined terms. |
D. |
theorems, postulates, and undefined terms |
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Hint |
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3. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
Through any two points, there is exactly one line. |
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B. |
Through any three points not on the same line, there is exactly one plane. |
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C. |
If two lines intersect, then their intersection is exactly one point. |
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D. |
If two planes intersect, then their intersection is a line. |
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Hint |
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4. |
Determine the number of line segments that can be drawn connecting pairs of points shown. |
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A. |
4 |
B. |
8 |
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C. |
6 |
D. |
10 |
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Hint |
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5. |
A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? |
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A. |
42 |
B. |
7 |
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C. |
15 |
D. |
21 |
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Hint |
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