SOLUTION: CD has endpoints C(1,4) and D(5,0). EF has endpoints E(4,5) and F(2,-1). Prove that the segments have the same midpoint. Thanks, any help appreciated!

Algebra ->  Length-and-distance -> SOLUTION: CD has endpoints C(1,4) and D(5,0). EF has endpoints E(4,5) and F(2,-1). Prove that the segments have the same midpoint. Thanks, any help appreciated!      Log On


   

Question 896927: CD has endpoints C(1,4) and D(5,0). EF has endpoints E(4,5) and F(2,-1). Prove that the segments have the same midpoint. Thanks, any help appreciated!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x co-ordinate of CD midpoint is
+%28+1+%2B+5+%29%2F2+=+3+
y co-ordinate of CD midpoint is
+%28+4+%2B+0+%29+%2F+2+=+2+
The midpoint of CD is ( 3,2 )
----------------------------
x co-ordinate of EF midpoint is
+%28+4+%2B+2+%29%2F2+=+3+
y co-ordinate of EF midpoint is
+%28+5+%2B%28-1%29+%29+%2F+2+=+2+
The midpoint of EF is ( 3,2 )