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2/5/2021-Warm Up

Last updated over 4 years ago

7 questions

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Question 1

1.

Given the conditional:

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

Rewrite this in the if/then form:

Question 2

2.

Given the conditional:

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

What is converse of this statement?

Question 3

3.

Given the conditional:

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

What is inverse of this statement?

Question 4

4.

Given the conditional:

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

What is contrapositive of this statement?

Question 5

5.

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.
Your parents let you borrow the car.

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

Question 6

6.

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 7

7.

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 class.

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