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reflect the given triangle over the line y = -x. 3,6,3,-3,3,3 3,?,, - 3…

Question

reflect the given triangle over the line y = -x. 3,6,3,-3,3,3 3,?,, - 3,,

Explanation:

Step1: Recall reflection formula

When reflecting a point \((x,y)\) over the line \(y = -x\), the formula is \((x,y)\to(-y,-x)\).

Step2: Apply formula to point \((6,3)\)

For the point \((6,3)\) (from the original matrix \(

$$\begin{bmatrix}3&6&3\\-3&3&3\end{bmatrix}$$

\)), using the formula \((x = 6,y = 3)\to(-y,-x)\). Substitute \(x = 6\) and \(y=3\) into \((-y,-x)\), we get \((-3,-6)\).

Answer:

\(-3\) (top - value) and \(-6\) (bottom - value)