Question

identify a pair of segments that are marked perpendicular to each other on the diagram below. (diagram is not to scale.)

Explanation:

Step1: Recall Perpendicular Definition

Perpendicular segments form a \(90^\circ\) angle. In the diagram, at point \(H\), segments \(DF\) and \(GE\) (or \(DG\) and \(DE\) at \(D\)) have right - angle marks. Looking at the intersection at \(H\), the right - angle symbol between \(DF\) and \(GE\) indicates they are perpendicular. Also, at point \(D\), the right - angle symbol shows \(DG\) and \(DE\) are perpendicular. Let's take \(DF\) and \(GE\) (or \(DG\) and \(DE\)). For example, segment \(DF\) and segment \(GE\): the right - angle mark at \(H\) shows they intersect at \(90^\circ\). Another pair is \(DG\) and \(DE\) (right - angle at \(D\)). Let's choose \(DF\) and \(GE\) (or \(DG\) and \(DE\)). Let's go with \(DF\) and \(GE\) (or \(DG\) and \(DE\)). Let's analyze the diagram: the right - angle at \(H\) between \(DF\) (horizontal) and \(GE\) (vertical) shows they are perpendicular. Also, at \(D\), the right - angle between \(DG\) and \(DE\) shows they are perpendicular.

Step2: Identify the Pair

From the diagram, the segments with a right - angle mark (either at \(H\) or at \(D\)) are perpendicular. For example, segment \(DF\) and segment \(GE\) (intersect at \(H\) with right - angle) or segment \(DG\) and segment \(DE\) (right - angle at \(D\)). Let's pick \(DF\) and \(GE\) (or \(DG\) and \(DE\)). Let's confirm: perpendicular segments meet at \(90^\circ\), and the right - angle symbol in the diagram (at \(H\) for \(DF\) and \(GE\), at \(D\) for \(DG\) and \(DE\)) confirms this.

Answer:

\(DF\) is perpendicular to \(GE\) (or \(DG\) is perpendicular to \(DE\))