Question

Describe the relationship between GF and CD when the two lines are perpendicular to AB. Also describe the relationship between GF and CD when CD is not perpendicular to AB . Zoom in or out on the coordinate plane, if needed.

Answer 1

See Explanation

Explanation:

Given

Lines GF, CD and AB

Required

Relationship between GF and CD

The question is incomplete, as there is no attachment to support the given parameters.

The general solution goes thus:

(a) CD and GF perpendicular to AB

If two lines are perpendicular to another line; then the two lines are parallel to each other.

This means that CD and GF are parallel, and they have the same slope

(b) CD is not perpendicular to AB

Here, we know that GF is perpendicular to AB, CD is not;

This means that GF and AB are not parallel.

More information is needed to determine the actual relationship between GF and AB; but for sure, they are not parallel.