Question

select the statement that is the inverse of the following statement:
if two lines are parallel, then they have the same slope.

answer

if two lines are parallel, then they dont have the same slope.
if two lines have the same slope, then they are parallel.
if two lines arent parallel, then they dont have the same slope.
if two lines dont have the same slope, then they arent parallel.
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Explanation:

To find the inverse of a conditional statement "If \( p \), then \( q \)", we negate both the hypothesis (\( p \)) and the conclusion (\( q \)). The original statement is "If two lines are parallel (\( p \)), then they have the same slope (\( q \))". Negating \( p \) gives "two lines aren't parallel" and negating \( q \) gives "they don't have the same slope". So the inverse is "If two lines aren't parallel, then they don't have the same slope".

Answer:

If two lines aren't parallel, then they don't have the same slope.