The coordinates of the endpoints of and are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which condition proves that ?
3 answers:
the complete question in the attached figure
we know that
Two lines are parallel if they have the same slope.
So
Computing for the slope of line segment AB and line segment CD using the formula

step 1
Find the slope segment AB


step 2
Find the slope segment CD


step 3
If AB is parallel to CD
then


therefore
the answer is

For two line segments to be parallel, their slopes must be equal.
Therefore slope of AB must be equal to slope of CD
which is, option 3
<span> (y4-y3)/(x4-x3)=(y2-y1)/(x2-x1)</span>
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