Conditional Statements
Converse
Statements
Deductive
Reasoning
Inductive
Reasoning
True or False?
100

Write the following statement as a conditional:

"Triangles have three sides"

If it's a triangle, then it has 3 sides.

100

Write the converse of the statement:

"If it's Tuesday, then you are at school"

If you're at school, then it's Tuesday.

100

Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".

"If it is Monday, then you are tired.

It is Monday."

You are tired.

100

Find the next two terms:

-2,  2,  6,  10, ...

14 and 18

100

Determine if the statement is true or false. If false, provide a counterexample.

"If a shape has three sides, then it's a triangle."

True!

200

Write the following statement as a conditional:

"All dogs bark"

If it's a dog, then it barks

200

Write the converse of the statement:

"If the number is seven, then it is prime"

If the number is prime, then it is seven.

200

Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".

"If you want a driver's license, then you must take Driver's Ed.

John wants a driver's license."

John must take Driver's Ed.

200

Find the next two terms:

20, 17, 14, 11, ...

8 and 5

200

Determine if the statement is true or false. If false, provide a counterexample.

"If you are eating ice cream, then it is Summer"

False; you can eat ice cream whenever!

300

Write the following statement as a conditional:

"Math is Ms. Steele's favorite subject"

If it's math, then its Ms. Steele's favorite subject.

300

Write the converse of the statement:

"If it snows a lot, then we won't have school"

If we don't have school, then it snowed a lot.

300

Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".

"If it is Summer, then Ms. Steele is happy.

If it is Summer, then Ms. Steele is at the beach."

No Conclusion

300

Find the next two terms:

160, 80, 40, 20, ...

10 & 5

300

Determine if the statement is true or false. If false, provide a counterexample.

"If a number ends in zero, then it is divisible by 10."

True!

400

Write the following statement as a conditional:

"Even numbers are divisible by 2"

If it's an even number, then it's divisible by 2

400

Write the converse of the statement:

"If the shape is a rectangle, then it has 4 sides"

If the shape has four sides, then it's a rectangle.

400

Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".

"If you are happy, then you're with friends.

If you're with friends, then you are making memories."

If you are happy, then you're making memories.

400

Find the next two terms:

-6, 12, -24, 48, ...

-96 and 192

400

Determine if the statement is true or false. If false, provide a counterexample.

"If we don't have school, then it snowed a lot"

False; weekends, holidays, Summer, etc.

500

Write the following statement as a conditional:

"Right angles are 90 degrees"

If it's a right angle, then it's 90 degrees.

500

Write the converse of the statement:

"If two angles are vertical angles, then they are congruent"

If two angles are congruent, then they are vertical angles.

500

Draw a conclusion (if possible) from the statements. If not possible, write "no conclusion".

"If you miss more than 5 days of math class, then you will not get a good grade.

If you don't get a good grade, then you won't be happy."

If you miss more than 5 days of math class, then you won't be happy.

500

Find the next two terms:

2, 5, 9, 14, 20, ...

27 and 35

500

Determine if the statement is true or false. If false, provide a counterexample.

"If you teach math, then you teach Geometry"

False; Algebra, Trigonometry, Statistics, Calculus, etc.