The point A (2,7) lies on the perpendicular bisector of the line segment joining the points P (5,-3) and Q(0,-4).

Explanation

To determine whether the point A (2, 7) lies on the perpendicular bisector of the line segment joining the points P (5, -3) and Q (0, -4), we will follow these steps:

### Step 1: Find the Midpoint of PQ
The midpoint M of the line segment joining points P (5, -3) and Q (0, -4) can be calculated using the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Here, \( P(x_1, y_1) = (5, -3) \) and \( Q(x_2, y_2) = (0, -4) \).
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