Question

write the coordinates of the vertices after a rotation 180° counterclockwise a
e(\square, \square)
f(\square, \square)
g(\square, \square)
h(\square, \square)

Explanation:

Step1: Find the original coordinates

From the graph, we can see that the coordinates of \(E(-8,6)\), \(F(-8,10)\), \(G(-1,10)\), \(H(-1,6)\).

Step2: Apply the rotation rule

The rule for a \(180^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(-x,-y)\).
For point \(E(-8,6)\):
\(x=-8,y = 6\), after rotation \(E'=(8,-6)\)
For point \(F(-8,10)\):
\(x=-8,y = 10\), after rotation \(F'=(8,-10)\)
For point \(G(-1,10)\):
\(x=-1,y = 10\), after rotation \(G'=(1,-10)\)
For point \(H(-1,6)\):
\(x=-1,y = 6\), after rotation \(H'=(1,-6)\)

Answer:

\(E'(8,-6)\), \(F'(8,-10)\), \(G'(1,-10)\), \(H'(1,-6)\)