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The equation shows that the diagonals are congruent perpendicular bisectors.
The vertices of the square are given as:
- c = (1,1)
- d = (3,1)
- e =(3,-1)
- f = (1,-1)
Start by calculating the slope of diagonal ce using:
So, we have:
Next, calculate the slope of diagonal df using:
So, we have:
The slopes of both diagonals are:
By comparing both slopes, we have:
i.e.
Hence, shows that the diagonals are congruent perpendicular bisectors.
Read more about perpendicular bisectors at: