Question

this graph has rotational symmetry about the point (1,2).

Explanation:

Step1: Recall rotational - symmetry concept

A figure has rotational symmetry about a point if it looks the same after a rotation of 180 degrees (or other angles) around that point. For an ellipse - like figure, the center of the figure is the point of rotational symmetry.

Step2: Identify the center of the figure

By observing the grid, we can see that the horizontal center of the ellipse - like figure is at \(x = 1\) (mid - way between the left - most and right - most points of the figure in the x - direction), and the vertical center is at \(y=2\) (mid - way between the top - most and bottom - most points of the figure in the y - direction).

Answer:

\((1,2)\)