Question

A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is true? A. A, B, C, and D lie on the same line. B. And are perpendicular lines. C. And are parallel lines. D. And are intersecting lines but are not perpendicular. E. And are parallel lines

Answer 1

line AB and line CD are perpendicular lines

Explanation:

Answer 2

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}=(4-1)/(-2+8)=(3)/(6)=(1)/(2)\\\\\text{Slope of CB}=(4+1)/(-2+3)=(5)/(1)=5\\\\\text{Slope of CD}=(5+1)/(-6+3)=(6)/(-3)=-2\\\\\text{Slope of AD}=(5-1)/(-6+8)=(4)/(2)=2\\\\\text{Slope of BD}=(5-4)/(-6+2)=(1)/(-4)=(-1)/(4)\\\\\text{Slope of AC}=(-1-1)/(-3+8)=(-2)/(5)`

→→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.