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What would happen if parallel lines weren't parallel?
They would 'intersect'. ('cross', have one point in common)
Calculate area of trapezium two parallel and two non parallel sides are given?
The usual form for the area of a trapezoid is (average of the parallel sides) x height. If only the lengths of the sides are given, then calculation of the area requires trigonometry and multiple solutions are possible. Often, teachers will give a problem like this showing the two unequal parallel sides and two unequal, non-parallel sides with a diagram showing that one of the sides is perpendicular to the parallel sides. That side length would be the height.
Why is parallel lines defined?
Otherwise nobody would know what was meant by parallel lines!
What are lines in the same plane that are not parallel and do not intersect?
If they are not parallel and do not intersect then they would not be in the same plane (not possible), but they would be called skew lines.
What are identified by numbers that represent the orientation in compass degrees rounded to the nearest 10 degees?
Runways, sort of (they're actually that divided by 10, zero-padded to two digits if necessary). So a runway marked "27" has a heading of approximately 270 degrees and therefore runs due west (Runways have different numbers on each end; the other end of runway 27 would be marked "09").
