Question

Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefined slope.

Answer 1

1.) if the line has an undefined slope, then it is a verticle line.

2.) if the line is not vertical then it does not have an undefined slope

Answer 2

1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p → q

inverse: ~p → ~q (the symbol ~ means the negation)

1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:

conditional statement: p → q

converse: q → p

2) converse of the given statement

conditional: If a line is vertical, then it has undefined slope.

converse: switch the hypothesis and the conclusion

if a line has undefined slope, then it is vertical <------- answer

3) Inverse of the given statement

conditional: if a line is vertical, then it has undefined slope.

inverse: negate both hypothesis and conclusion.

if a line is not vertical, then it does not have an undefined slope <---answer