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if ab is parallel to cd which statement must be true?


AB and CD do not intersect.

AB and CD intersect at 90° angles.

The perpendicular distance between AB and CD increases as the lines are traversed left to right.

The perpendicular distance between AB and CD decreases as the lines are traversed right to left.



Answer :

olemakpadu
AB and CD do not intersect.

Parallel lines do not intersect and the distance between them is constant. The correct option is A.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

If ab is parallel to cd then the statement that must be true is AB and CD do not intersect.

Hence, the correct option is A.

Learn more about Parallel lines:

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