Geometry Practice

Converse

100

What is the converse of this statement? Original: If the beach ball pops, Then it is flat.

If it is flat, Then the beach ball popped.

200

What do you do to the statement when you are using the Converse method?

Switch the hypothesis and the conclusion

300

What is the converse of... If you are in geometry, then you are in math?

If you are in math, then you are in geometry.

400

If an animal is a chihuahua, then it is a dog. What is the converse of this statement?

If an animal is a dog, then it is a chihuahua.

500

If my allowance increases, Then I can save more money. What is the converse of this statement?

If I can save more money, Then my allowance increased/increases.

Inverse

100

If Gummy Bears are Gummy, then they must be made by Haribo. What is the inverse of this statement?

If Gummy Bears are NOT Gummy, then they are NOT made by Haribo.

200

What is the Inverse of... If you have your license, then you can drive?

If you don't have your license, then you cannot drive.

300

What do you do to the statement when you use the inverse method?

Negate the hypothesis and the conclusion. (place "not" into both the hypothesis and conclusion)

400

If the sun is NOT shining, Then we are inside watching tv. What is the Inverse of this statement?

If the sun is shining, Then we are not inside watching tv.

500

If the answer is correct, Then i am the best. What is the inverse of this statement?

If the answer is NOT correct, Then i am NOT the best.

Contrapositive

100

If the sun is shining, then we are not watching tv. What is the contrapositive?

If we are watching tv, Then the sun is NOT shining.

200

What is the of contrapositive of the following statement.. If you study, then you will pass?

If you do not pass, then you did not study.

300

What do you do when use the contrapositive method?

Switch and Negate (insert "not")

400

If the field is wet, then it rained. What is the contrapositive of this statement?

If it did NOT rain, then the field is NOT wet.

500

If we are in Biology, then we are in school. What is the contrapositive?

If we are not in school, then we are not in biology.

Mixed Bag

100

What are collinear points?

points that lie on the same line

200

Name the hypothesis and conclusion of: If you get an A, then you pass the course.

hypothesis: you get an A conclusion: you pass the course

300

What are opposite rays?

Rays that have the same endpoint but go in opposite directions.

400

Two planes intersect at a  ....

Line

500

How do you read the following?

~q -> ~p

If not q, then not p

Biconditional statements

100

What phrase does a biconditional contain?

the phrase "if and only if"

200

Rewrite as a biconditional. 

If two lines in a plane never intersect, then they are parallel.

Two lines in a plane never intersect if and only if they are parallel.

300

What is the conditional statement of the following? Two angles are complementary if and only if they add to 90 degrees.

If two angles are complementary, then they add to 90 degrees.

400

Write the conditional of the following biconditional:

You live in Rhode Island if and only if you live in the smallest state in the USA.

If you live in Rhode Island, then you live in the smallest state in the USA. 

500

What are the conditional and converse of this biconditional statement? 

An angle is a straight angle IF AND ONLY IF its measure is 180 degrees.

If an angle is a straight angle, then its measure is 180 degrees.

If its measure is 180 degrees, then an angle is a straight angle.