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Inductive Reasoning and Deductive Reasoning 2
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Result
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Choose your answer to each question.

1. What is the converse statement of the following?

If two distinct planes intersect, their intersection is a line.

If two distinct planes do not intersect, then their intersection is not a line.
If the intersection of two planes is a line, then the two planes are distinct.
If the intersection of two planes is not a line, then the two planes are not distinct or they do not intersect.
Answer: If the intersection of two planes is a line, then the two planes are distinct.
2. What is the truth value of the converse statement in the previous item?
True
False
Answer: True
3. What is the converse statement of the following?

If two segments are of the same length, then they are congruent.

If two segments are congruent, then they are of the same length.
If two segments are not congruent, then they are not of the same length.
If two segments are not of the same length, then they are not congruent.
Answer: If two segments are congruent, then they are of the same length.
4. What is the truth value of the converse statement in the previous item?
True
False
Answer: True
5. What is the converse statement of the following?

If 1 is an acute angle, it measures less than 90°.

If 1 measures less than 90°, then it is an acute angle.
If 1 measures not less than 90°, then it is not an acute angle.
If 1 is not an acute angle, then its measure is not less than 90°.
Answer: If 1 measures less than 90°, then it is an acute angle.
6. What is the truth value of the converse statement in the previous item?
True
False
Answer: True
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