Question

how many lines can be constructed perpendicular to \overline{ac} that pass through point d?

Explanation:

Step1: Recall the Perpendicular Line Theorem

In a plane, there is exactly one line perpendicular to a given line that passes through a given point.

Step2: Apply the Theorem to the Problem

Here, the given line is \(\overline{AC}\) and the given point is \(D\). By the theorem, there can be only one line constructed perpendicular to \(\overline{AC}\) that passes through point \(D\).

Answer:

1. 1