SOLUTION: I and V is between line GE and I is nearer to G. I is the midpoint of line GV and V is the midpoint of line IE. If the coordinates of G and E are -15 and 20, respectively, what is

Algebra ->  Length-and-distance -> SOLUTION: I and V is between line GE and I is nearer to G. I is the midpoint of line GV and V is the midpoint of line IE. If the coordinates of G and E are -15 and 20, respectively, what is       Log On


   

Question 1088079: I and V is between line GE and I is nearer to G. I is the midpoint of line GV and V is the midpoint of line IE. If the coordinates of G and E are -15 and 20, respectively, what is the measure of IE?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Points I and V are on line segment GE,
with I nearer to G.
The coordinates of G and E are -15 and 20, respectively.
So far, it looks like this:
.
(So far we do not know the distances between those points,
but we know that their labels read "GIVE").
We also know that
I is the midpoint of line segment GV,
meaning that GI=IV , and
V is the midpoint of line segment IE,
meaning that IV=VE .
Putting it all together GI=IV=VE .
So, GE=GI%2BIV%2BVE=IV%2BIV%2BIV=3%2AIV ,
but in coordinate units, the distance GE is GE=20-%28-15%29=20%2B15=35 ,
so 3%2AIV=35 --> IV=35%2F3 .
Then, IE=IV%2BVE=IV%2BIV=2%2AIV-2%2A%2825%2F3%29=highlight%2850%2F3=16%262%2F3=about16.67%29 .