Question

△fgh is rotated 90° counterclockwise around the origin to form △fgh.
what are the coordinates of point g and point g?
g( , )
g( , )

Explanation:

Step1: Determine the coordinates of point G

From the graph, we can see that point G is at (-2, -4).

Step2: Apply the 90° counter - clockwise rotation formula

The formula for a 90° counter - clockwise rotation around the origin is \((x,y)\to(-y,x)\).
For point \(G(-2,-4)\), substituting \(x = - 2\) and \(y=-4\) into the formula:
\(x'=-y=-(-4) = 4\) and \(y'=x=-2\)

Answer:

\(G(-2,-4)\), \(G'(4,-2)\)