Question

Read the statements shown in the chart below.
Original Statement
“If it’s a garage sale, then it’s a Sunday.”
Statement 1
“If it’s not a Sunday, then it’s not a garage sale.”
Statement 2
“If it’s not a garage sale, then it’s not a Sunday.”
Statement 3
“If it’s a Sunday, then it’s a garage sale.”

Which option is correct?

Answer 1

Statement 1 is an inverse, and statement 2 is a contrapositive of the original statement.

Statement 2 is a converse, and statement 3 is an inverse of the original statement.

Statement 2 is an inverse, and statement 3 is a converse of the original statement.

Statement 1 is a converse, and statement 3 is a contrapositive of the original statement.

Answer 2

Statement 1 is contrapositive.
Statement 2 is inverse.
Statement 3 is converse.

#1: X
#2: X
#3: O
#4: X

Answer 3

Thank you so much! Would you mind explaining it a bit, just to help my mind to clarify a bit?

Answer 4

Statement 1 is actually a converse.
Statement 2 is an inverse.
Statement 3 is a contrapositive.

Focus on the "con" part of converse. Now, "con" means negative - so think of the opposite of the original statement (you do not reverse the sentences), or simply "not." There is always a "not" in the sentence when it is defined with a "con-" prefix.

Contrapositive is when you reverse the sentences. See the "con" again? That means the sentence will contain a "not" in it; simply take the sentence after the comma and put it first, and the sentence before the comma and put it after.