Question

rotate the given triangle 90° clockwise about the origin.
\\( \left \

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

\
ight \\)
\\( \left \

$$\begin{array} { l l l } { 0 } & {? } & { } \\\\ { 0 } & { } & { } \\end{array}$$

\
ight \\)

Explanation:

Step1: Recall rotation formula

When rotating a point \((x,y)\) \(90^{\circ}\) clockwise about the origin, the new coordinates \((x',y')\) are given by \((x',y')=(y,-x)\).
For the point \((7,-3)\):
\(x = 7\), \(y=-3\)
\(x'=-3\), \(y'=-7\)

Step2: Apply rotation formula to other points

For the point \((-1,-4)\):
\(x=-1\), \(y = -4\)
\(x'=-4\), \(y'=1\)

Answer:

\(

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

\)