Question

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

Explanation:

Step1: Calculate lengths

$LM = 5 - 2=3$; $MN=9 - 5 = 4$; $NO=13 - 9 = 4$; $MO=13 - 5 = 8$.

Step2: Check each statement

• For “$N$ is the mid - point of $\overline{MO}$”: Mid - point of $MO$ should divide $MO$ into two equal parts. Since $MN = 4$ and $NO = 4$ and $MO=8$, $N$ is the mid - point of $\overline{MO}$.
• For “$LM>NO$”: Since $LM = 3$ and $NO = 4$, $LM
• For “$MONO$, so this is false.
• For “$LM = MN$”: Since $LM = 3$ and $MN = 4$, $LM

eq MN$, so this is false.

Answer:

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