Question

what is the length of segment mo?

Explanation:

Step1: Determine congruent triangles

By the Angle - Side - Angle (ASA) congruence criterion, \(\triangle HIO\cong\triangle NMO\).

Step2: Use congruent properties

Since the triangles are congruent, corresponding sides are equal. So \(MO = HO\).

Step3: Calculate the length

Given \(HO = 12\), then \(MO = 12\).

Answer:

\(12\)