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

Question

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

Explanation:

Step1: Calculate LM

$LM=12 - 7=5$

Step2: Calculate MO

$MO = 17-12 = 5$

Step3: Calculate LO

$LO=17 - 7=10$

Step4: Calculate MN

$MN=15 - 12=3$

Step5: Calculate NO

$NO=17 - 15 = 2$

Step6: Analyze each option

  • Option 1: Since $LM = 5$ and $MO = 5$, $LM=MO$ is True.
  • Option 2: Since $MO = 5$ and $LO = 10$, $MO
  • Option 3: Since $LM = MO = 5$, $M$ is the mid - point of $\overline{LO}$, this is True.
  • Option 4: Since $NO = 2$ and $MN=3$, $NO>MN$ is False.

Answer:

NO > MN