To determine in which quadrant the polygon formed by the coordinates (9, -2), (12, -5), and (5, -7) is located, we need to analyze the coordinates of each point:
- (9, -2) - This point is in Quadrant IV because the x-coordinate is positive and the y-coordinate is negative.
- (12, -5) - This point is also in Quadrant IV for the same reason as above.
- (5, -7) - This point is likewise in Quadrant IV since the x-coordinate is positive and the y-coordinate is negative.
Since all three points are in Quadrant IV, the polygon formed by these points is also in Quadrant IV.
Therefore, the answer is 4 for Quadrant IV.