Question

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither.

a.parallel
b.perpendicular
c.neither

Answer 1

b.perpendicular

Explanation:

Answer 2

The slope:
m = rise / run;
For the line segment AB:
m AB = (y 2 - y 1) /(x 2 - x 1) = ( f - 0 ) / ( e - 0 ) = f / e
For the line segment CD:
m CD = ( 0 - e ) / ( f - 0 ) = - e / f
m CD = - 1 / m AB
Answer:
The lines are B ) perpendicular