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 \\)

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 \((x',y')=(y, -x)\).

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

For the point with \(x = 7\) and \(y=-3\), using the formula \((x',y')=(y, -x)\), we substitute \(x = 7\) and \(y=-3\) into it.
So \(x'=-3\) and \(y'=-7\).

Answer:

The value in the green - box (corresponding to the \(y\) - coordinate of the rotated point from \((7,-3)\)) is \(-7\) and the value below it (corresponding to the \(x\) - coordinate) is \(-3\).