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Is the slopes of two parallel lines are always equal?
Yes
Is the opposite side of a parallelogram are always equal?
yes, or else the lines would no longer be parallel
What is a quadrilateral with 1 pair of parallel lines and have no equal lines?
A quardrilateral with 1 pair of parallel lines and have no equal sides is a trapezium.
Do lines that aren't parallel always intersect?
Yes, they do. By definition, lines that never intersect must be parallel, so all non-parallel lines must intersect at some point. Given that they are normal lines (y=mx+b) they will always have a point that suffices the equation when they are set equal to each other.
How does the slope between two parallel lines compare?
The slope between two parallel lines is identical. This is because parallel lines have the same slope and will never intersect. The slope of a line is a measure of its steepness, and when two lines are parallel, they will have the same steepness, resulting in the same slope. Therefore, the slope between two parallel lines will always be equal.
