To find the new coordinates of triangle FDP after it has been reduced by a scale factor of \( \frac{1}{2} \) with a center at \( (0, 0) \), you will multiply each of the original coordinates of triangle FDP by \( \frac{1}{2} \).
Let’s say the original coordinates of triangle FDP are:
- \( F(x_1, y_1) \)
- \( D(x_2, y_2) \)
- \( P(x_3, y_3) \)
To find the new coordinates after scaling:
- New coordinate of \( F \): \( F' \left( \frac{x_1}{2}, \frac{y_1}{2} \right) \)
- New coordinate of \( D \): \( D' \left( \frac{x_2}{2}, \frac{y_2}{2} \right) \)
- New coordinate of \( P \): \( P' \left( \frac{x_3}{2}, \frac{y_3}{2} \right) \)
If you can provide the original coordinates of points F, D, and P, I can help you calculate the precise new coordinates.