# Coordinates of square vertices

The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.

x1 =  -7
y1 =  -1
x2 =  -2
y2 =  2
x3 =  -4
y3 =  -6

### Step-by-step explanation:

${y}_{1}={s}_{1}-{d}_{1}=\left(-2\right)-\left(-1\right)=-1$
${x}_{2}={s}_{0}+{n}_{0}=\left(-3\right)+1=-2$
${y}_{2}={s}_{1}+{n}_{1}=\left(-2\right)+4=2$
${x}_{3}={s}_{0}-{n}_{0}=\left(-3\right)-1=-4$
${y}_{3}={s}_{1}-{n}_{1}=\left(-2\right)-4=-6$

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