Question

show that the points (0,-2), (3,2), (0,6) and (-3,2) are the vertices of a square.

Answer 1

So to do this you would need to plug these points into a graph

How you identify where these points are the vertices of a square is you would need to look at the distance from point to point.

The picture below is the graphed version (done on Desmos)

So you would plug two of the points into the distance formula, which is down below

So lets plug in (0,-2) and (3,2) The result would be $3\sqrt{34$ divided by 5

Then lets do (3,2) and (0,6) The result would be 5

We can stop here, because if this was a square the distance between each point would be the same, so it is not a square

Hope this helps