Question

based only on the information provided in this figure, which statement about these two segments is justified?
dv≅vr
v is the midpoint of tz
tz⊥dr
v is the midpoint of dr

Explanation:

Step1: Analyze the figure

In the figure, on segment \(\overline{TZ}\), there are two equal - length marks on either side of point \(V\).

Step2: Use the mid - point definition

By the definition of a mid - point (a point that divides a segment into two equal - length segments), since the two sub - segments of \(\overline{TZ}\) (i.e., \(\overline{TV}\) and \(\overline{VZ}\)) are of equal length (as indicated by the equal - length marks), \(V\) is the mid - point of \(\overline{TZ}\).
For \(\overline{DV}\cong\overline{VR}\), there are no marks indicating that \(DV = VR\). For \(\overline{TZ}\perp\overline{DR}\), there are no right - angle marks. And for \(V\) being the mid - point of \(\overline{DR}\), there are no marks to show \(DV = VR\).

Answer:

V is the midpoint of \(\overline{TZ}\)