SOLUTION: The endpoints of two segments are given, find each segment length. Tell whether the segments are congruent: segment EF: E(1,4), F(5,1) segment GH: (-3,1), H(1,6)

Algebra ->  Formulas -> SOLUTION: The endpoints of two segments are given, find each segment length. Tell whether the segments are congruent: segment EF: E(1,4), F(5,1) segment GH: (-3,1), H(1,6)      Log On


   

Question 775257: The endpoints of two segments are given, find each segment length. Tell whether the segments are congruent:
segment EF: E(1,4), F(5,1)
segment GH: (-3,1), H(1,6)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Distance between two points
x1 y1 x2 y2

1 4 5 1
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%091%09-%094%09%29%5E2%09%2B%09%28%095%09-%091%09%29%5E2%09%29
d= sqrt%28%28%09%09-3%09%29%5E2%09%2B%09%28%094%09%29%5E2%09%29
d= sqrt%28%28%09%0925%09%29++%09%29
d(E,F)= 5.00

x1 y1 x2 y2

-3 1 1 6
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%28%09%096%09-%091%09%29%5E2%09%2B%09%28%091%09-%09-3%09%29%5E2%09%29
d= sqrt%28%28%09%095%09%29%5E2%09%2B%09%28%094%09%29%5E2%09%29
d= sqrt%28%28%09%0941%09%29++%09%29
d(G,H)= 6.40
They are not congruent
m.ananth@hotmail.ca