Question

To construct a line passing through point c that is parallel to the line ab, the first step is to create a line through c perpendicular to ab. what is the next step?

Answer 1

Answer: Parallel lines are simply lines that extend in both directions, and do not intersect.

Line CD is guaranteed to be parallel to AB

From the attachment, we have the following observations

The line drawn from CD to AB is perpendicular to AB

Points C and D are on the same straight horizontal level

This means that, the line drawn from CD to AB:

Is perpendicular to CD

is perpendicular to AB

If a line is perpendicular to two other lines, then the two other lines are parallel.

So, we can conclude that:

Lines CD and AB are parallel

Explanation: