Answer:
AB and CD are parallel to each other.
Step-by-step explanation:
We have to check whether the line segment AB and CD are parallel, perpendicular or nothing,
The coordinates of A, B, C , D are:
A(2, 8), B(−1, −2), C(3, 7), D(0, −3)
We calculate the slope of line segment AB and CD.
Formula:
[tex]\text{Slope} = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\text{where }(x_1,y_1), (x_2, y_2)\text{ are the coordinates of the endpoints of line segment}[/tex]
Putting the values, we get,
Slope of Line segment of AB =
[tex]\displaystyle\frac{-2-8}{-1-2} = \frac{-10}{-3}=\frac{10}{3}[/tex]
Slope of Line segment of CD =
[tex]\displaystyle\frac{-3-7}{0-3} = \frac{-10}{-3}=\frac{10}{3}[/tex]
Thus,
Slope of Line segment of AB = Slope of Line segment of CD
Hence, the two line segments AB and CD are parallel to each other.
