Question

reflect the given triangle over the line $y=-x$.
$left \begin{array} { c c c } { 0 } & { 7 } & { - 1 } \\ { 0 } & { - 3 } & { - 4 } end{array}
ight$
$left \begin{array} { c c c } { 0 } & {? } & { } \\ { 0 } & { } & { } end{array}
ight$

Explanation:

Step1: Recall the reflection formula

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

Step2: Apply the formula to the point \((7,-3)\)

For the point \((7,-3)\), \(x = 7\) and \(y=-3\).
Substitute into the formula: \((-(-3),-7)=(3,-7)\)

Answer:

\(

$$\begin{bmatrix}0&3&4\\0&-7&1\end{bmatrix}$$

\)