Question

Use the given conditional statement to determine the converse and inverse statements.

If a line is vertical, then it has undefined slope.
Converse: If a line has an undefined slope, then it is a vertical line.
Inverse:
If a line is vertical then it has an undefined slope.
If a line has an undefined slope, then it is a vertical line.
If a line is not vertical then it does not have an undefined slope.
If a line does not have an undefined slope, then it is not a vertical line.

Answer 1

The given conditional statement is "If a line is vertical, then it has undefined slope." The converse is "If a line has an undefined slope, then it is a vertical line." The inverse statements are "If a line is not vertical, then it does not have an undefined slope" and "If a line does not have an undefined slope, then it is not a vertical line."

Step-by-step explanation:

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

The converse statement is: If a line has an undefined slope, then it is a vertical line.

The inverse statements are:

1. If a line is not vertical, then it does not have an undefined slope.
2. If a line does not have an undefined slope, then it is not a vertical line.

Learn more about Converse and inverse statements in geometry