Given quadrilateral RSTU, tell which sides (if any) are parallel and which are perpendicular for the coordinates of the vertices.
R(-1,1), S(1,-2), T(4,0), U(3,3)
Explanation: This problem can be solved using slopes (m): 1- if m1 = m2, then lines are parallel 2- if m1*m2 = -1, then lines are perpendicular Formula to get the slope is as follows: slope (m) = (y2-y1) / (x2-x1)
slope of RS = (-2-1) / (1--1) = -3/2 slope of ST = (0--2) / (4-1) = 2/3 slope of TU = (3-0) / (3-4) = -3 slope of RU = (3-1)/(3--1) = 1/2
Now, checking the slopes, we will find that: slope of RS*slope of ST = -3/2 * 2/3 = -1 This means that RS is perpendicular to ST
No other relation can be established between the slopes of the other sides.
