Question

Given four points A(4,2), B(8,18), C(5,15), D(9,14). What is the relationship between AB and CD?

A) AB is parallel to CD.
B) AB is perpendicular to CD.
C) AB and CD have the same length.
D) AB and CD are not related in a specific way.

Answer 1

The relationship between AB and CD is that they are not related in a specific way.

Step-by-step explanation:

The relationship between AB and CD can be determined by examining their slopes. The slope of a line is given by the formula (y2 - y1) / (x2 - x1). For AB, the slope is (18 - 2) / (8 - 4) = 4. For CD, the slope is (15 - 14) / (5 - 9) = -0.25. Since the slopes are not equal, AB and CD are not parallel and not perpendicular to each other. Therefore, the relationship between AB and CD is that they are not related in a specific way (Option D).