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2/8/2021-#2 Unit 1 Reasoning Quiz

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Question 1
1.

Read the conditional statement below. Then provide the converse.

If the moon is full, then the vampires are prowling.

Question 2
2.

Read the conditional statement below. Then provide the inverse.

If you do not understand geometry, then you do not know how to reason deductively.

Question 3
3.

Read the conditional statement below. Then provide the converse.

You cannot skateboard if you do not have a sense of balance. (you might rewrite into the if/then form first)

Question 4
4.

Read the conditional statement below. Then provide the inverse.

If it rains, then I do not go fishing.

Question 5
5.

Read the conditional statement below. Then provide the contrapositive.

If I have a Siberian Husky, then I have a dog.

Question 6
6.

Read the conditional statement below. Then provide the contrapositive.

If there is a thunderstorm, then our pond floods.

Question 7
7.

Read the conditional statement below. Then identify the hypothesis.

If angles are congruent, then the measures of the angles are equal.

Question 8
8.

Read the conditional statement below. Then identify the conclusion.

If angles are congruent, then the measures of the angles are equal.

Question 9
9.

Read the conditional statement below. Then identify the hypothesis.

If Johnny is late to school, then his mom will have to drive him.

Question 10
10.

Read the conditional statement below. Then identify the conclusion.

If Johnny is late to school, then his mom will have to drive him.

Question 11
11.

Read the conditional statement below. Then identify the hypothesis.

The angles are supplementary if they add up to 180 degrees.

Question 12
12.

Read the conditional statement below. Then identify the conclusion.

The angles are supplementary if they add up to 180 degrees.

Question 13
13.

Is this statement true?

If I like animals, then I will get a dog.

If it is true, select true. If it is not, select false.

Question 14
14.

Using your reponse from question 13 above, if you answered 'false', write a counterexample. If you answered true, write true.

Question 15
15.

Read the following statement. Then identify the hypothesis.

If you like fried chicken, then you like KFC.

Question 16
16.

Read the following statement. Then identify the conclusion.

If you like fried chicken, then you like KFC.

Question 17
17.

Which type of statement is represented by the symbollic representation given below?


Question 18
18.

Which type of statement is represented by the symbollic representation given below?

Question 19
19.

Which type of statement is represented by the symbollic representation given below?


Question 20
20.

Which type of statement is represented by the symbollic representation given below?


Question 21
21.

How would you describe the Law of Detachment symbolically?

Question 22
22.

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If you passed the final, then you pass the class.
You passed the final.

If a conclusion is possible, write it below. If a conclusion is not possible, write "not possible."

Question 23
23.

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend.
You will go to the movies with your friend.

If a conclusion is possible, write it below. If a conclusion is not possible, write "not possible."

Question 24
24.

How would you describe the Law of Syllogism symbolically?

Question 25
25.

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If x < -2, then |x| > 2.
If x > 2, then |x| > 2.

If a conclusion is possible, write it below. If a conclusion is not possible, write "not possible."

Question 26
26.

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If a figure is a rhombus, then the figure is a parallelogram.
If a figure is a parallelogram, then the figure is a quadrilateral.

If a conclusion is possible, write it below. If a conclusion is not possible, write "not possible."

Question 27
27.

If the school cafeteria sells pizza today, then Greg is going to eat four pieces.
The school is selling pizza today.

Using deductive reasoning, what statement can you make based on this information?