Question

1. if mp = 6², find mn.

Explanation:

Step1: Analyze the segment

From the diagram, \( N \) is the midpoint of \( MP \) (since the segments \( MN \) and \( NP \) are marked congruent), so \( MN=\frac{1}{2}MP \).

Step2: Calculate \( MP \)

Given \( MP = 6^{2}=36 \).

Step3: Find \( MN \)

Using \( MN=\frac{1}{2}MP \), substitute \( MP = 36 \): \( MN=\frac{1}{2}\times36 = 18 \).

Answer:

\( 18 \)