To create a figure that reflects the given triangle ABC through central symmetry with a center point O, follow these steps:

1. Draw a straight line from point A to point O, and then extend it to a point X that is the same distance from point O as A, creating a line segment AX.

2. On the line segment AX, construct a perpendicular line at point O. This line will be the central axis of symmetry.

3. Draw a line from point B to the central axis of symmetry, making sure that the line is perpendicular to the axis.

4. Using a compass, measure the distance from point B to point A, and then draw an arc of the same distance from point X. This arc should intersect the line drawn in the previous step at point Y.

5. The point Y will be the reflected image of point B through central symmetry with center point O.

6. Repeat the previous steps for point C, drawing a line from point C to the central axis of symmetry and then drawing an arc from point X to find the reflected image at point Z.

7. Connect points Y, Z, and O to create a new triangle, which will be the reflected image of triangle ABC through central symmetry with center point O.

So there you have it, a figure that reflects the given triangle through central symmetry with center point O. Now you can impress your classmates with your mathematical skills!