Question

Segment AB contains points A and B. Segment CD contains points C and D. Are segment AB and segment CD parallel, perpendicular, or neither? Explain. A(3, -8) B(0, 2) C(5, 6) D(2, 3)

Answer 1

Segments, lines, etc. are parallel if their slopes are the same and if they are not coinciding(on top of each other).

Segment, lines, etc. are perpendicular if their slopes are the negative recipirocal of each other, such as 3 and -1/3.

By using the slope formula, (y2-y1)/(x2-x1), you find out that the slope of AB is -10/3 and the slope of CD is 1, so you can reason that they are neither.

Answer 2

Segments AB and CD are perpendicular.