What is the inverse statement of this sentence?

Question

What is the inverse statement of this sentence?

 

If lines are parallel, then they share the same slope.

Answer 1

One of my favorite topics: conditional statements, aka "if then" statements.  There are three types of these statements.

 

For the original sample statement:  If apples, then bananas.

 

Converse statement: If bananas, then apples.  (the "if" clause and "then" clause switch places)

Inverse statement:  If not apples, then not bananas.   (negate the original statement)

Contrapositive statement:  If not bananas, then not apples.  (combination of the converse and inverse statements)

 

 

Apply this concept to your given statement.

Answer 2

If two lines have identical slopes (including the case of undefined slope), then they are parallel lines.  (I think this is called the Converse.)