Answer with explanation:
Coordinates of A, B, C, and D are (-8, 1), (-2, 4), (-3, -1), and (-6, 5).
Plotting the points on two dimensional plane
1. You will find that, the four points, A , B , C and D do not lie on the dame Line.
![\text{Slope of AB}=\frac{4-1}{-2+8}=\frac{3}{6}=\frac{1}{2}\\\\\text{Slope of CB}=\frac{4+1}{-2+3}=\frac{5}{1}=5\\\\\text{Slope of CD}=\frac{5+1}{-6+3}=\frac{6}{-3}=-2\\\\\text{Slope of AD}=\frac{5-1}{-6+8}=\frac{4}{2}=2\\\\\text{Slope of BD}=\frac{5-4}{-6+2}=\frac{1}{-4}=\frac{-1}{4}\\\\\text{Slope of AC}=\frac{-1-1}{-3+8}=\frac{-2}{5}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20of%20AB%7D%3D%5Cfrac%7B4-1%7D%7B-2%2B8%7D%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Ctext%7BSlope%20of%20CB%7D%3D%5Cfrac%7B4%2B1%7D%7B-2%2B3%7D%3D%5Cfrac%7B5%7D%7B1%7D%3D5%5C%5C%5C%5C%5Ctext%7BSlope%20of%20CD%7D%3D%5Cfrac%7B5%2B1%7D%7B-6%2B3%7D%3D%5Cfrac%7B6%7D%7B-3%7D%3D-2%5C%5C%5C%5C%5Ctext%7BSlope%20of%20AD%7D%3D%5Cfrac%7B5-1%7D%7B-6%2B8%7D%3D%5Cfrac%7B4%7D%7B2%7D%3D2%5C%5C%5C%5C%5Ctext%7BSlope%20of%20BD%7D%3D%5Cfrac%7B5-4%7D%7B-6%2B2%7D%3D%5Cfrac%7B1%7D%7B-4%7D%3D%5Cfrac%7B-1%7D%7B4%7D%5C%5C%5C%5C%5Ctext%7BSlope%20of%20AC%7D%3D%5Cfrac%7B-1-1%7D%7B-3%2B8%7D%3D%5Cfrac%7B-2%7D%7B5%7D)
→→None of the two lines are Parallel nor they are perpendicular,because neither product of slopes of two lines is equal to ,-1, nor the slope of two lines are equal.
It means they are Intersecting Lines .
Option D:⇒ And are intersecting lines but are not perpendicular.