Question

If A(x¹,y¹), B(x²,y²), C(x³,y³) and D(x⁴,y⁴) form two line sements AB and CD which condition needs to be met to prove AB is perpendicular to CD

Answer 1

A(x1, y1), B(x2, y2), C(x3, y3), D(x4, y4) form line segments AB and CD

For AB to be perpendicular to CD, triangle ABC should be a right angle or AC^2 = AB^2 + BC^2

(x3-x1)+(y3-y1) = (x2-x1)+(y2-y1) + (x3-x2)+(y3-y2)

If this is equal we can say AB is perpendicular to CD

Hope this helps!