Q: How different the world would be if there were no parallel lines?

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Parallel lines would always lie in the same plane. They would need to be skew lines.

Parallel lines are lines on a graph that have the same slope, but are in different positions. For example, the two sides of a ladder, would represent parallel lines.

Otherwise nobody would know what was meant by parallel lines!

Yes. In 3 dimensions, lines can be "skew". imagine taking two pencils at different angels and at different heights. lines from them would never intersect

No, two lines would not be parallel if the consecutive interior angles measured 108 degrees and 74 degrees. Consecutive interior angles on parallel lines are always congruent, meaning they have the same measure. Therefore, if the consecutive interior angles have different measures, the lines cannot be parallel.

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Parallel lines would always lie in the same plane. They would need to be skew lines.

There wouldn't be train tracks, and you couldn't play tic-tac-toe.

No. In order to be parallel, two lines would have to have the same slope, and different intercepts.Why? Two lines with different slopes, but the same intercepts would result in two intersecting lines. Two lines with the same slope, and the same intercept would result in the same line. Two lines with the same slope, and different intercepts would be parallel.

If they were not actually parallel then they would not be parallel lines!

Parallel lines are lines on a graph that have the same slope, but are in different positions. For example, the two sides of a ladder, would represent parallel lines.

the answer would have to be skew

NO. A diamond does not have parallel lines. All the lines would eventually connect.

Otherwise nobody would know what was meant by parallel lines!

Yes. In 3 dimensions, lines can be "skew". imagine taking two pencils at different angels and at different heights. lines from them would never intersect

A regular decagon would have five sets or parallel lines.

No, two lines would not be parallel if the consecutive interior angles measured 108 degrees and 74 degrees. Consecutive interior angles on parallel lines are always congruent, meaning they have the same measure. Therefore, if the consecutive interior angles have different measures, the lines cannot be parallel.

The answer would be parallel lines these lines never meet or cross each other.