# Show these point form a square

#### helpmeddddd

Show ACDE is a square

C=10,2

A=4,2

E=8,-8

D=14,-4

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#### mathman

Forum Staff
They don't. Side lengths are different.

#### SDK

Should be $A = (4,-2)$. Also, what have you tried?

#### helpmeddddd

Should be $A = (4,-2)$. Also, what have you tried?
Yes you're correct. I know it's a square. I have found all side lengths to be approximately 7.21 units or âˆš52 and the diagonal from AD and CE are âˆš104 or approximately 10.19 units and they are all at right angles to each other. What are some mathematical statements I can use?

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#### skipjack

Forum Staff
The easiest approach is to show that the diagonals are mutually perpendicular and have a common mid-point. This suffices to establish that ACDE is a square and doesn't require use of Pythagoras.

#### mathman

Forum Staff
If all angles are right angles and side lengths the same, it is a square.

#### NineDivines

This makes me cry. Use vectors!