Answer:
Given vertices of the triangle ABC,
A(-4,-2), B(-1,3), and C(5,0),
A) By graphing,
The vertices of preimage of the vertices of A, B and C are shown as below.
B) Since, the rule of 180°counterclockwise about the origin,

If the triangle ABC is rotated 180°counterclockwise about the origin to form triangle A′B′C′.
The vertices of A'B'C' are,
A'(4,2), B'(1, -3), C'(-5,0)