Question

AB formed by (-2,13) and (0,3)CD formed by (-5,0) and (0,1) Determine if segments AB and CD are parrel, perpendicular, or neither.​

Answer 1

The segments AB and CD are neither parallel nor perpendicular.For segment CD, the slope is (1 - 0) / (0 - (-5)) = 1 / 5. Since the slopes of AB and CD (-5 and 1/5, respectively) are not the same (not equal), these segments are neither parallel nor perpendicular.

Explanation:

To determine if two segments are parallel or perpendicular, we can use their slopes. The slope of segment AB can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For AB, the slope is (3 - 13) / (0 - (-2)) = -10 / 2 = -5.

For segment CD, the slope is (1 - 0) / (0 - (-5)) = 1 / 5. Since the slopes of AB and CD (-5 and 1/5, respectively) are not the same (not equal), these segments are neither parallel nor perpendicular. They exhibit different slopes, indicating they don't have the same inclination (not parallel) nor do they form a right angle (not perpendicular).