Geometry Lesson 2.3-2.4 math models & deductive reasoning

If it is Friday, then I will get paid.

Today is Friday.

What can you conclude?

• It is not Friday

• It is Friday

• I will not get paid

• I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is the converse of the statement:

If an animal is a dog, then it does not moo.

• If an animal is not a dog, then it does moo

• If an animal does moo, then it is not a dog

• If an animal does not moo, then it is a dog

• An animal is a dog then it does moo.

Write a counterexample for the following statement:

If Suchy lives in Minnesota, then she lives in White Bear Lake.

• Suchy lives in MN

• Suchy lives in Mahtomedi

• Suchy lives in WBL

• None of the above

Which statement is the converse of the given statement?

If you make an insurance claim, then your rates will go up.

• If your insurance rates do not go up, then you have not made a claim.

• If you do not make an insurance claim, then your rates will not go up.

• If your insurance rates go up, then you have made an insurance claim.

• If you make an insurance claim, then your rates will not go up.

Which is a valid conclusion from these statements?

If a quadrilateral is a rhombus, then it is a parallelogram.

If a quadrilateral is a parallelogram, then its opposite angles are congruent.

• Opposite angles of a quadrilateral are congruent

• Opposite angles of a rhombus are congruent

• Every quadrilateral is a rhombus

• Every parallelogram is a rhombus

Tags

CCSS.HSG.CO.C.11

For the converse, we _________ the "if" and "then" portion of the statement.

• flip

• negate

• Flip and negate

• do nothing to

Determine the conclusion of these statements.

If an animal is a dog, then they like biscuits.

Sammy is a dog.

• Sammy is an animal.

• Sammy likes biscuits.

• Dogs do not like biscuits.

• Sammy is a dog that likes other animals.

Draw a conclusion from the statement.

If you live in Orlando, then you live in Florida.

You live in Orlando.

• You live in Disney Land.

• You are an old person.

• You live in Florida.

• You live in California.

Draw a conclusion from the statement.

If you go fishing, then you will need to bring your fishing rod.

You go fishing.

• You will need to bring your fishing rod.

• You will catch fish.

• You will need bait.

• You do not need to bring your fishing rod.

Tags

CCSS.HSS.CP.A.5

If you exercise regularly, then you have a healthy body.

If you have a healthy body, then you have more energy.

What can you conclude from these statements?

• If you exercise regularly then you are not overweight.

• If you exercise regularly, then you have more energy

• If you exercise regularly, then you have a healthy body.

• If you do not have a healthy body, then you do not exercise regularly