Question

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 ?

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Answer 1

Answer with explanation:

When two lines are parallel, then their slopes are equal.

It is given that, AB ║ CD.

Coordinates of A, B, C and D are,

`A(x_(1), y_(1)), B(x_(2), y_(2)), C(x_(3), y_(3)), and D(x_(4), y_(4))`

→→Slope of AB=Slope of CD

`\rightarrow(y_(2)-y_(1))/(x_(2)-x_(1))=(y_(4)-y_(3))/(x_(4)-x_(3))`

Option : C

Answer 2

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
(y4-y3)/(x4-x3)=(y2-y1)/(x2-x1)