The coordinates of the endpoints of line AB and line CD are A(x1, y1), B(x2, y2), C(X3,Y3), and D(x4, y4). which condition proves that line AB is parallel the CD?

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Tom Redfern · Answer 1 · 2017-04-12T18:23:10+0000

Find the slope for the two lines and state that they are equal (condition for parallel lines)

Slope of line AB

[y2 - y1] / [x2 - x1]

Slope of line CD

[y4 - y3] / [x4 - x3]

Condition

[y2 - y1] / [x2 - x1] = [y4 - y3] / [x4 - x3]

The coordinates of the endpoints of line AB and line CD are A(x1, y1), B(x2, y2), C(X3,Y3), and D(x4, y4). which condition proves that line AB is parallel the CD?

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