Question

1. identify the angle or side that is common to \\( \triangle npm \\) and \\( \triangle omp \\).

\\( \overline { np } \\)
\\( \overline { mo } \\)
\\( \overline { mp } \\)
\\( \overline { no } \\)

Explanation:

Step1: Analyze each option

• For \(\overline{NP}\): It is a side of \(\triangle NPM\) but not of \(\triangle OMP\).
• For \(\overline{MO}\): It is a side of \(\triangle OMP\) but not of \(\triangle NPM\).
• For \(\overline{MP}\): It is a side that belongs to both \(\triangle NPM\) and \(\triangle OMP\).
• For \(\overline{NO}\): It is not a side of either \(\triangle NPM\) or \(\triangle OMP\).

Answer:

\(\overline{MP}\) (the third option)