Question

1. △? ≅ △? is (overline{wh}) a median?

Explanation:

Step1: Recall the definition of a median

A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side.

Step2: Check the given triangle

In \(\triangle WOH\) and \(\triangle WHY\), we know that \(WO = WY\) (given by the tick marks). Also, if we assume \(OH = HY\) (since we are checking for the median property), and \(WH\) is common. By SSS (Side - Side - Side) congruence criterion, \(\triangle WOH\cong\triangle WHY\).
Since \(H\) is the mid - point of \(OY\) (because \(\triangle WOH\cong\triangle WHY\) implies \(OH = HY\)) and \(WH\) connects vertex \(W\) to the mid - point \(H\) of side \(OY\).

Answer:

\(\triangle WOH\cong\triangle WHY\) and \(\overline{WH}\) is a median.