Question

Determine whether AB and CD are parallel, perpendicular, or neither.

A(1,−12),B(5,4),C(1.9),D(6,−6)

a) Parallel

b) Perpendicular

c) Neither

d) Data insufficient to determine

Answer 1

The lines AB and CD are neither parallel nor perpendicular.

Step-by-step explanation:

To determine whether AB and CD are parallel, perpendicular, or neither, we need to find the slopes of the lines AB and CD and compare them.

The slope of a line can be found using the formula m = (y2-y1)/(x2-x1).

For AB: m = (4-(-12))/(5-1) = 16/4 = 4.

For CD: m = (-6-(1))/((6-1) = -7/5.

Since the slopes of AB and CD are not equal, the lines are neither parallel nor perpendicular.

Therefore, the answer is c) Neither.