Question

rotate the given triangle 180° counterclockwise about the origin.
\\( \left \

$$\begin{array} { l l l } { 0 } & { - 3 } & { 5 } \\\\ { 0 } & { 1 } & { 2 } \\end{array}$$

\
ight \\)
\\( \left \

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

\
ight. \\)

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) counter - clockwise about the origin, the new point is \((-x,-y)\).

Step2: Apply the rule to the point \((- 3,1)\)

For the point with \(x=-3\) and \(y = 1\), after rotation:
\(x'=-(-3)=3\) and \(y'=-1\)

Answer:

\(3\)