SOLUTION: Use coordinate geometry to prove the statement. The segments joing the midpoints of a rectangle form a rhombus. A(0,0) D(0,b) C(a,b) B(a,0) A is on the orgin of the coorndian

Question 669221: Use coordinate geometry to prove the statement.
The segments joing the midpoints of a rectangle form a rhombus.
A(0,0)
D(0,b)
C(a,b)
B(a,0)
A is on the orgin of the coorndiante plan, while D is located on the Y axis.
B is located on the X axis. C is not n an axis.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!



The midpoint of AB is E(,0),
The midpoint of AB is F(,),



Using the distance formula, which is:

d = 

EF =  = 



FG =  =  = 

GH =  =  = 

HE =  =  = 

All four sides of EFGH are equal to  so EFGH is a rhombus.

Edwin

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