we know that
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y)
so
the rule is
(x,y) -----------> (-x,-y)
Applying the rule of the rotation to the given figure
we have the following coordinates
A(1,5) -----------> A'(-1,-5)
B(4,8) ---------> B'(-4,-8)
C(7,7) --------> C'(-7,-7)
D(7,5) ------> D'(-7,-5)
E(5,3) ------> E'(-5,-3)
using a graphing tool
Draw the image of the rotated figure
see the attached figure
please wait a minute