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.
[tex]\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}[/tex]
→→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.
Answer:
line AB and line CD are perpendicular lines
Step-by-step explanation:
