Geometry Section 2.3

Geometry Section 2.3

by Shane Devlin

Multiple Choice

Can this statement be written as a biconditional?

If an angle measures  $$45\degree$$  then the angle is acute.

• Yes the converse is also true

• No, the converse is false

• No the original statement is false.

Open Ended

You are an auto mechanic and you check the battery of your client's car and it is dead. What can you conclude? Will the car start?

Multiple Choice

You try another car and it won't start, what can you conclude?

• The battery is dead

• You can't conclude anything because there a many reasons a car may not start.

• You need a new car

• the bus isn't that bad

Multiple Choice

If it rains over 3 inches in one week, then the creek will flood.

Given: It rained 4 inches in the last three days.

What can you conclude?

• The creek will be fine.

• The creek will flood.

• No conclusion

Multiple Choice

If a ray bisects an angle the angle is cut into two equal angles.

Given: ray OB bisects angle MON.

What can you conclude?

• $$\angle MOB\ \cong\angle BON$$

• No conclusion can be reached.

• $$\angle MOB\ \cong\angle MON$$

• $$\angle MON\ \cong\angle BON$$

Multiple Choice

If it is snowing then it is less than 32 degrees outside.

Given: it is 20 degrees outside

What can you conclude?

• It is snowing

• No conclusion can be reached.

• It is new years day

Open Ended

If a river is longer than the Amazon, then it is the longest river in the world.

If a river is more than 4000 miles long, then it is longer than the Amazon. 

Use the law of syllogism to write the new if - then statement.

Multiple Choice

If a river is more than 4000 miles long, then it is longer than the Amazon. 

If a river is longer than the Amazon, then it is the longest river in the world.

The Nile is 4132 miles long.

What can you conclude?

• The Nile is the longest river in the world

• The amazon is longer than the Nile

• The Amazon is more volumous than the Nile

• No conclusion

Complete the following questions together and then begin the classwork/homework 2.3

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Answer and Explain