In the shape to the right prove whether or not there are any
In the shape to the right, prove whether or not there are any perpendicular lines.
Solution
A= ( -4 , 2.5) ; B = ( 2, 4) ; C = ( 3, 1)
D = ( -3 , -1)
Find slopes between the points
AB = ( 4- 2.5)/(2 +4) = 1.5/6 = 15/60 = 5/20 = 1/4
BC = ( 1 -4)/(3 -2) = -3
CD = (-1 -1)/(-3-3) = 1/3
AD = (-3.5/1) = -3.5 = -7/2
Only sides BC and AD are perpendicular as -3*(1/3) = -1
