Converse, Inverse, & Contrapositive
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Easy
+6
Standards-aligned
Jamie Espinal
Used 59+ times
FREE Resource
3 Slides • 14 Questions
1
A) Conditional Statements
"If..., then..."
B) Hypothesis comes after "if"
C) Conclusion comes after "then"
D) Converse
The hypothesis and conclusion switch order.
E) Inverse
The conditional statement becomes opposite.
2
Multiple Choice
What kind of statement is the following?
"If you make a lot of money, then you can buy a nice car."
Contrapositive Statement
Converse Statement
Conditional Statement
Controversial Statement
3
Multiple Choice
"If you make a lot of money, then you can buy a nice car."
What is the hypothesis?
You can't buy a nice car.
You make a lot of money.
You can buy a nice car.
You don't make a lot of money.
4
Multiple Choice
"If you make a lot of money, then you can buy a nice car."
What is the conclusion?
You can't buy a nice car.
You make a lot of money.
You can buy a nice car.
You don't make a lot of money.
5
Multiple Choice
What would be the converse of the conditional statement?
"If you make a lot of money, then you can buy a nice car."
If you can't buy a nice car, then you don't make a lot of money.
If you don't make a lot of money, then you can't buy a nice car.
If you can buy a nice car, then you make a lot of money.
If you make a lot of money, then you can buy a nice car.
6
Multiple Choice
What would be the inverse of the conditional statement?
"If you make a lot of money, then you can buy a nice car."
If you can't buy a nice car, then you don't make a lot of money.
If you don't make a lot of money, then you can't buy a nice car.
If you can buy a nice car, then you make a lot of money.
If you make a lot of money, then you can buy a nice car.
7
Contrapositive
The conditional statement is both converse AND inverse.
For Example
Conditional Statement "If I'm old, then I'm wise."
Contrapositive "If I'm not wise, then I'm not old."
8
Multiple Choice
What would be the contrapositive of the conditional statement?
"If you make a lot of money, then you can buy a nice car."
If you can't buy a nice car, then you don't make a lot of money.
If you don't make a lot of money, then you can't buy a nice car.
If you can buy a nice car, then you make a lot of money.
If you make a lot of money, then you can buy a nice car.
9
Open Ended
The contrapositive is both the converse and inverse of a conditional statement. Type the contrapositive for the following statement:
"If I'm sleepy, then I'm lazy."
10
11
Multiple Choice
Conditional Statement
“If I live in Los Angeles, then I live in California.”
What is the p?
I don't live in California
I live in California
I don't live in Los Angeles
I live in Los Angeles
12
Multiple Choice
Conditional Statement
“If I live in Los Angeles, then I live in California.”
What is the q?
I don't live in California
I live in California
I don't live in Los Angeles
I live in Los Angeles
13
Multiple Choice
Conditional Statement
“If I live in Los Angeles, then I live in California.”
What is the ~p?
I don't live in California
I live in California
I don't live in Los Angeles
I live in Los Angeles
14
Multiple Choice
Conditional Statement
“If I live in Los Angeles, then I live in California.”
What is the ~q?
I don't live in California
I live in California
I don't live in Los Angeles
I live in Los Angeles
15
Multiple Choice
Conditional Statement p → q
What is the converse?
∼q → ∼p
q → p
∼p → ∼q
16
Multiple Choice
Conditional Statement p → q
What is the inverse?
∼q → ∼p
q → p
∼p → ∼q
17
Multiple Choice
Conditional Statement p → q
What is the contrapositive?
∼q → ∼p
q → p
∼p → ∼q
A) Conditional Statements
"If..., then..."
B) Hypothesis comes after "if"
C) Conclusion comes after "then"
D) Converse
The hypothesis and conclusion switch order.
E) Inverse
The conditional statement becomes opposite.
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