Question

give the missing measure.
2
om =
pn =
on =
mn =
ln = 46

Explanation:

Step1: Properties of a square

In a square \(OLMN\), the diagonals are equal and bisect each other at right - angles. Also, all sides are equal. Given \(LN = 46\).

Step2: Length of \(OM\)

Since the diagonals of a square are equal, \(OM=LN\). So \(OM = 46\).

Step3: Length of \(PN\)

The diagonals of a square bisect each other. So \(PN=\frac{LN}{2}\). Substituting \(LN = 46\), we get \(PN=\frac{46}{2}=23\).

Step4: Length of \(ON\)

Since \(OLMN\) is a square, \(ON = OM\) (all sides of a square are equal). So \(ON = 46\).

Step5: Length of \(MN\)

Since \(OLMN\) is a square, \(MN = OM\) (all sides of a square are equal). So \(MN = 46\).

Answer:

\(OM = 46\), \(PN = 23\), \(ON = 46\), \(MN = 46\)