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1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
proof |
B. |
theorem |
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C. |
definition |
D. |
postulate |
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Hint |
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2. |
Which of the following statements is not a postulate? |
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A. |
A plane contains at least three points not on the same line. |
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B. |
If two lines intersect, then their intersection is exactly one point. |
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C. |
Through any two points, there is exactly one line. |
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D. |
Points that lie of the same plane are said to be coplanar. |
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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. |
If two planes intersect, then their intersection is a line. |
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B. |
Through any two points, there is exactly one line. |
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C. |
Through any three points not on the same line, there is exactly one plane. |
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D. |
If two lines intersect, then their intersection is exactly one point. |
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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. |
8 |
B. |
4 |
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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. |
7 |
B. |
42 |
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C. |
15 |
D. |
21 |
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Hint |
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