Answer:
(1, 1) , (5, 2), (6, 4), (4, 7) and (2, 3)
Explanation:
When a point is rotated 180° about the origin(either clockwise or anticlockwise), the transformed coordinates are the negatives of the original coordinates.
Thus when a point (x, y) is rotated about the origin, its new coordinates become (-x, -y)
Given the original 5 vertices of the pentagon, the vertices of the rotated pentagon are transformed as follows
Original Vertex ==> Transformed Vertex
(-1, -1) ==> (1, 1)
(-5, -2) ==> (5, 2)
(-6, -4) ==> (6, 4)
(-4, -7) ==> (4, 7)
(-2, -3) ==> (2, 3)