The question asks for the image of point $F(-2, 7)$ after a 180° clockwise rotation.

When you rotate a point $(x, y)$ by 180° clockwise (or counterclockwise, since a 180° rotation is the same in both directions), the new coordinates are given by $(-x, -y)$.

For the point $F(-2, 7)$:

• The new $x$-coordinate becomes $-(-2) = 2$.
• The new $y$-coordinate becomes $-(7) = -7$.

Thus, the image of $F(-2, 7)$ after a 180° clockwise rotation is $F'(2, -7)$.

So, the correct answer is F'(2, -7).

Would you like more details or have any other questions?

5 Related Questions:

1. What happens to a point after a 90° clockwise rotation?
2. How do you determine the new coordinates after a 270° counterclockwise rotation?
3. How is the formula for a 180° rotation derived?
4. What is the effect of a 360° rotation on a point's coordinates?
5. How do different types of transformations (e.g., reflections, translations) affect coordinates?

Tip:

For any rotation by $\theta$ degrees, you can use trigonometric formulas for more complex cases, but remember that 90°, 180°, and 270° rotations have simple coordinate transformation rules.