Free Printable Related Conditionals Practice

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Related Conditionals Practice

Total questions: 47

Worksheet time: 1hrs 15mins

Name

Class

Date

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

If the measures of the angles are equal, then the angles are congruent.

"If angles are not congruent, then the measures of the angles are not equal."

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

If the measures of the angles are equal, then the angles are congruent.

"If angles are not congruent, then the measures of the angles are not equal."

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

If angles are congruent.

Angles are congruent.

Then the measures of the angles are equal.

The measures of the angles are equal.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

If the angles are congruent.

The angles are congruent.

Then the measures of the angles are equal.

The measures of the angles are equal.

To write the converse you negate both the hypothesis and the conclusion.

False

True

10.

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

His mom will have to drive him

If Johnny is late to school

Johnny is late to school

Then his mom will have to drive him

11.

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

if they add up to 180 degrees

the angles are supplementary

they add up to 180 degrees

there is no conclusion

12.

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

Converse

Inverse

Contrapositive

Negation

13.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Converse

Inverse

Contrapositive

Negation

14.

Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

Converse

Inverse

Contrapositive

Negation

15.

A statement that can be written in the if-then form is a(n)...

conditional statement

converse statement

inverse statement

contrapositive

16.

Exchanging the hypothesis and conclusion is the ...

conditional

converse

inverse

contrapositive

17.

Replacing the hypothesis with its negation and replacing the conclusion with its negation is the ...

conditional

converse

inverse

contrapositive

18.

Negating the hypothesis and conclusion of the converse of the conditional is the ...

conditional

converse

inverse

contrapositive

19.

True/False: Logically equivalent statements are statements that have different truth values.

False

True

20.

Used to prove that a conjecture is false.

Counterexample

Inductive Reasoning

Concluding statement

Conjecture

21.

A generalization based on patterns observed is called a

Conjecture

Hypothesis

Counterexample

Conclusion

22.

The part of a conditional statement following the word then.

Hypothesis

Conclusion

Counterexample

Conjecture

23.

The part of a conditional statement following the word if.

Conjecture

Conclusion

Hypothesis

Counterexample

24.

Deductive reasoning is:

Based on observations

Based on known/established facts/evidence

25.

Consider the Statement:

An acute angle is less than $90\degree$
Rewrite the statement as a conditional statement.

All acute angles are less than $90\degree$

If an angle is acute then it is less than $90\degree$

An obtuse angle is greater than $90\degree$

If an angle is obtuse then it is greater than $90\degree$

26.

Given the following:
p-An angle is a right angle
q-An angle measures 90 degrees
Which statement below is the verbal representation of

p\leftrightarrow q

If an angle is a right angle, then an angle measures 90 degrees.

If an angle measures 90 degrees, then an angle is a right angle.

An angle is a right angle if and only if an angle measures 90 degrees.

An angle measures 90 degrees if and only if an angle is a right angle.

27.

By definition, a BICONDITIONAL is:

A conditional with two truth values

A TRUE conditional with a TRUE Converse.

A FALSE conditional with a TRUE Converse.

A TRUE conditional with a FALSE Converse.

28.

The product of two negative numbers is greater than the sum of the two numbers. What is an appropriate counterexample?

-3 and -3

True. There is no counterexample

-1 and -1

4 and 6

29.

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

2/3

4/5

1/2

3/2

30.

If it is an angle, then it is acute. What is an appropriate counterexample?

70⁰

45⁰

120⁰

True. There is no counterexample.

31.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

-2

True. There is no counterexample.

32.

A counterexample is an example that proves a conjecture to be true.

True

False

33.

Which of the following is a counterexample to the following conjecture? If $x^2\ =\ 4$ , then x = 2

x = 4

x = -2

x = 2

x = -4

34.

Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 $\le17$

a = 6

a = 0

a = 5

a = 1

35.

Which numbers are not counterexamples for the following statement?
For any numbers a and b, $\frac{a}{b}\ =\ a\ -\ b$

a = 8, b = 4

a = 10, b = 5

a = 6, b = 3

a = 4, b = 2

36.

Identify the property of equality.
If 9=x, then x=9

Reflexive

Symmetric

Transitive

Substitution

37.

What is Addition property of equality

a. If a=b, then a+c=b+c

b. If a=b, then a-c=b-c

c. If a=b, then ac=bc

d. If a=b, then a/c=b/c

38.

Identify the property used here:
39=39

Reflexive

Symmetric

Transitive

Substitution

39.

Step 2 is what

Substitution property (simplify)

Multiplication property of equality

Division property of equality

Distributive Property

40.

What is step 4

Substitution property (simplify)

Addition property of equality

Subtraction property of equality

41.

What is step 6

Subtraction property of equality

Addition property of equality

Division property of equality

42.

Step 1 is what

addition property of equality

given

subtraction property of equality

prove

43.

What is reason 2?

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

44.

For any numbers a, b, and c, if a = b and b = c, then a = c.

Transitive Property

Symmetric Property

Reflexive Property

Substitution Property

45.

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Property of Equality

46.

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

47.

Which is a counterexample of: The difference of two numbers is less than the greater number.

(5) - (2) = 3

(-5) - (4) = -9

(2) - 0 = 2

(3) - (3) = 0

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Related Conditionals Practice

Total questions: 47

Worksheet time: 1hrs 15mins

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