SOLUTION: Question: Take a Rectangle ABCD. Find out the mid points of all sides denotes it P,Q,R,S and joint it, we have a figure on PQRS. To prove that PQRS is a Rhombus.

Algebra ->  Rectangles -> SOLUTION: Question: Take a Rectangle ABCD. Find out the mid points of all sides denotes it P,Q,R,S and joint it, we have a figure on PQRS. To prove that PQRS is a Rhombus.      Log On


   

Question 146552: Question:
Take a Rectangle ABCD.
Find out the mid points of all sides denotes it P,Q,R,S and joint it, we have a figure on PQRS.
To prove that PQRS is a Rhombus.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
To prove that PQRS is a Rhombus, we need to prove PQ = QR = RS = SP.
In fact, triangles ASP, BPQ, CQR and DSR are congruent because
< A = < B = < C = < D
AP = PB = CR = RD
AS = SD = BQ = QC
Thus
PQ = QR = RS = SP