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Worksheetsconditional statements
Total questions: 35
Worksheet time: 3hrs 55mins
Name
Class
Date
1.
Write the following statement in if-then form.
All students at Hermitage take an English class.
a)
If you take an English class, then you are a student at Hermitage.
b)
If you are a student at Hermitage, then you take an English. class
2.
What is the converse of the following statement?
If it is Saturday, then the school is closed
If it is Saturday, then the school is closed
a)
If the school is closed, then it is Saturday.
b)
If it is not Saturday, then the school is not closed.
c)
If the school is not closed, then it is not Saturday.
3.
What is the inverse of the following statement?
If it is Saturday, then the school is closed
If it is Saturday, then the school is closed
a)
If the school is closed, then it is Saturday.
b)
If it is not Saturday, then the school is not closed.
c)
If the school is not closed, then it is not Saturday.
4.
What is the contrapositive of the following statement?
If it is Saturday, then the school is closed
If it is Saturday, then the school is closed
a)
If the school is closed, then it is Saturday.
b)
If it is not Saturday, then the school is not closed.
c)
If the school is not closed, then it is not Saturday.
5.
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.
What is this statement called: If it rains today, then we will not have practice.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
6.
What does this mean?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
7.
What does this mean?
a)
Conditional Statement
b)
Inverse Statement
c)
Converse Statement
d)
Contrapositive Statement
8.
What does this mean?
a)
Conditional Statement
b)
Converse
c)
Inverse
d)
Contrapositive
9.
What is the conclusion to the statement?
a)
You like fried chicken
b)
You only like fried chicken from KFC
c)
You like KFC
d)
You hate KFC
10.
What is the hypothesis of this conditional?
a)
Sally goes to the park.
b)
Sally will fall off the swing.
c)
Parks don't have swings that Sally goes to.
d)
If Sally falls off the swing, she goes to the park.
11.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
HI have a dog.
12.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
a)
If the angles are congruent.
b)
The angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
13.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
14.
Is this statement true?
a)
True. Class can't happen if a chair isn't occupied.
b)
False. There are empty chairs here.
c)
True.
d)
True. There are no chairs here, so the hypothesis is true.
15.
If something is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
16.
When taking the converse we ___________ the hypothesis and conculsion
a)
negate
b)
switch
c)
highlight
d)
switch and negate
17.
Which is the correct if-then statement for: "you will be late to school if you miss the bus."
a)
If you are late to school, then you will miss the bus.
b)
If you miss the bus, then you will be late to school
c)
If you sleep late, then you don't have to go to school.
d)
If you miss the bus, then you'll have to walk and be late.
18.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
If angles are not congruent, then the measures of the angles are not equal.
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
19.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
20.
Which of the following is the inverse to the statement:
"If you diet and exercise, then you will lose weight."
"If you diet and exercise, then you will lose weight."
a)
If you don't diet and exercise, then you will not lose weight.
b)
If you don't diet and exercise, then you will lose weight.
c)
If you lose weight, then you dieted and exercised.
d)
If you don't lose weight, then you diet and exercise.
21.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
22.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
23.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
24.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
25.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
26.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
If angles are not congruent, then the measures of the angles are not equal.
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
27.
What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."
a)
if they add up to 180 degrees
b)
the angles are supplementary
c)
they add up to 180 degrees
d)
there is no conclusion
28.
What is the inverse to this statement?
a)
If you live in Canada, you live in Montreal
b)
If you don't live in Montreal, then you don't live in Canada.
c)
If you don't live in Canada, you don't live in Montreal.
d)
Montreal is in Brazil.
29.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
30.
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.
What is this statement: If the reception is at the country club, then Maria will be getting married.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
31.
~q → ~p
a)
conditional
b)
converse
c)
inverse
d)
contrapositive
32.
This symbol, ↔, means?
a)
and
b)
or
c)
if and only if
d)
implies
33.
Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the inverse of this statement?
a)
If the polygon is not a quadrilateral, then it is not a trapezoid.
b)
If the polygon is not a trapezoid, then it is not a quadrilateral.
c)
If the polygon is a trapezoid, then it is a quadrilateral.
d)
A rectangle is also a quadrilateral.
34.
Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the converse of this statement?
a)
If a polygon is not a quadrilateral, then it is not a trapezoid.
b)
If a polygon is not a trapezoid, then it is not a quadrilateral.
c)
If a polygon is a trapezoid, then it is a quadrilateral.
d)
A rectangle is also a quadrilateral.
35.
When can a biconditional statement be true?
a)
When the inverse and the converse are both true
b)
When the original statement (conditional statement) & the contrapositive are both true.
c)
When the converse is true.
d)
When the original statement (conditional statement) and the converse are both true.
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