Question

write the coordinates of the vertices after a rotation 90° counterclockwise around the origi

Explanation:

Step1: Find original coordinates

The original coordinates are \(J(-9,8)\), \(K(-6,8)\), \(L(-6,9)\), \(M(-9,9)\).

Step2: Apply rotation formula

The formula for a \(90^{\circ}\) counter - clockwise rotation around the origin is \((x,y)\to(-y,x)\).
For \(J(-9,8)\):
\(x=-9,y = 8\), after rotation \(x'=-8,y'=-9\), so \(J'(-8,-9)\)
For \(K(-6,8)\):
\(x=-6,y = 8\), after rotation \(x'=-8,y'=-6\), so \(K'(-8,-6)\)
For \(L(-6,9)\):
\(x=-6,y = 9\), after rotation \(x'=-9,y'=-6\), so \(L'(-9,-6)\)
For \(M(-9,9)\):
\(x=-9,y = 9\), after rotation \(x'=-9,y'=-9\), so \(M'(-9,-9)\)

Answer:

\(J'(-8,-9)\), \(K'(-8,-6)\), \(L'(-9,-6)\), \(M'(-9,-9)\)