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QUESTION IMAGE

look at the diagram and evaluate. which of the statements below is t an…

Question

look at the diagram and evaluate. which of the statements below is t
answer
n is the midpoint of mo op > mn
mo < no no = op

Explanation:

Step1: Calculate the lengths

$MN=16 - 11=5$; $OP=22 - 21 = 1$; $MO=21 - 11 = 10$; $NO=21 - 16 = 5$

Step2: Check each option

  • Option "N is the mid - point of $\overline{MO}$": Mid - point of $MO$ with $M = 11$ and $O = 21$ should be $\frac{11 + 21}{2}=16$, so N is the mid - point of $\overline{MO}$.
  • Option "OP > MN": Since $OP = 1$ and $MN = 5$, $OP
  • Option "MO < NO": Since $MO = 10$ and $NO = 5$, $MO>NO$.
  • Option "NO = OP": Since $NO = 5$ and $OP = 1$, $NO

eq OP$.

Answer:

N is the midpoint of $\overline{MO}$