If it rains all night, then it will be muddy. If it is muddy, then my shoes will get dirty.

It rained all night, so my shoes will get dirty.

Which represents this correctly in if-then form? Parallel lines do not intersect.

If lines are parallel, then they do not intersect.

If it is Sat, then there is no school. If there is no school, then students don't have math.

On Saturday, students don't have math .

Which is the contrapositive of...If Paul does his homework, then he will do well on the exam.

If Paul doesn't do well on exam , then he didn't do his hw

If it is lightening, then Nathan's soccer game will be cancelled. There is lightening.

Nathan's soccer game will be cancelled.

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248 Inductive and Deductive Reasoning

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Answers

1
Which type of reasoning is based upon pattern?
logic
deductive
Inductive
syllogism
2
What converse is always true?
Vertical angles are congruent.
Right angles are congruent.
Congruent angles are equal.
Perpendicular lines intersect.
3
If it rains all night, then it will be muddy. If it is muddy, then my shoes will get dirty.
It is raining.
It rained all night, so my shoes will get dirty.
No new Conclusion.
It is muddy.
4
Which represents this correctly in if-then form? Parallel lines do not intersect.
If lines are parallel, then they do not intersect.
If lines are not parallel, then they intersect.
If lines intersect, then they are not parallel.
If lines do not intersect, then they are parallel.
5
True or false? For every interger n²>n.
True
False
6
If it is Sat, then there is no school. If there is no school, then students don't have math.
If students don't have math, then it is Saturday.
If it is not Sat, then students have math.
On Saturday, students don't have math .
No new conclusion
7
If Sara is driving, then she is not texting. Sara is not texting.
Sara doesn't have a phone.
No new conclusion
Sara is driving.
Sara is not driving.
8
Which is the contrapositive of...If Paul does his homework, then he will do well on the exam.
If Paul does his hw, then he will do well on the exam.
If Paul does well on exam, then he did his hw.
If Paul doesn't do well on exam , then he didn't do his hw
If Paul doesn't do his hw, then he won't do well on exam
9
Vertical angles are congruent. Angles A and B are congruent.
Vertical angles are congruent.
Angles A and B are vertical.
No new conclusion
Angles A and B are congruent.
10
If it is lightening, then Nathan's soccer game will be cancelled. There is lightening.
If it is not lightening, then Nathan will play his soccer game.
Nathan's soccer game will be cancelled.
It is lightening.
No new conclusion.

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