Answer:

The Parallel Postulate states that there exists one line through C which is parallel to line AB. As you know, an infinite number of lines can be drawn through point C, but only one of them will be parallel to line AB. The parallel postulate is very important in doing geometric proofs.

Step-by-step explanation:

To construct a line that is parallel to line AB that passes through point P. Step 1: Choose any point X on the line segment AB and join it to point P as shown. Step 2: With X as center and any suitable radius draw an arc cutting the line segment PX at point M and AB at point N respectively.