Math Question
![3 points
Prove the figure bounded by the 4 points \( (0,0) ;(0,4) ;(4,0) \) and \( (4,4) \) form a square using the properties of the diagonals of squares.
\[
(x-h)^{2}+(y-k)^{2}=r^{2}
\]
\[
\begin{array}{l}
\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\
y=m x+b \\
\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\
(x, y)=\left(x_{1}+k\left(x_{2}-x_{1}\right), y_{1}+k\left(y_{2}-y_{1}\right)\right) \\
\left(\frac{x_{1}-x_{2}}{2}, \frac{y_{1}-y_{1}}{2}\right)
\end{array}
\]
1 point
Find the a maint af rork that filletha freat Puramidinfiza](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/9/493e32e2-69b6-47b7-871e-f530d0b27b0a.png "3 points
Prove the figure bounded by the 4 points \( (0,0) ;(0,4) ;(4,0) \) and \( (4,4) \) form a square using the properties of the diagonals of squares.
\[
(x-h)^{2}+(y-k)^{2}=r^{2}
\]
\[
\begin{array}{l}
\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\
y=m x+b \\
\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\
(x, y)=\left(x_{1}+k\left(x_{2}-x_{1}\right), y_{1}+k\left(y_{2}-y_{1}\right)\right) \\
\left(\frac{x_{1}-x_{2}}{2}, \frac{y_{1}-y_{1}}{2}\right)
\end{array}
\]
1 point
Find the a maint af rork that filletha freat Puramidinfiza")
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