SOLUTION: the endpoints if two segments are given. Find each segment length. Tell whether the segments are congruent AB: A(2,6), B(0,3) CD: C(-1,0), D(1,3)

Algebra ->  Triangles -> SOLUTION: the endpoints if two segments are given. Find each segment length. Tell whether the segments are congruent AB: A(2,6), B(0,3) CD: C(-1,0), D(1,3)       Log On


   

Question 482013: the endpoints if two segments are given. Find each segment length. Tell whether the segments are congruent
AB: A(2,6), B(0,3)
CD: C(-1,0), D(1,3)
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
We will use the distance formula.
sqrt%28%28x2+-x1%29%5E2+%2B+%28y2+-+y1%29%5E2+%29 = sqrt%28%280-2%29%5E2+%2B+%283+-+6%29%5E2%29 = sqrt%2813%29.
sqrt%28%28x2+-x1%29%5E2+%2B+%28y2+-+y1%29%5E2+%29 = sqrt%28%281%2B1%29%5E2+%2B+%283+-+0%29%5E2%29 = sqrt%2813%29.
The two segments are equal, they are congruent.
Cleomenius.