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question look at the diagram and evaluate. which of the statements belo…

Question

question
look at the diagram and evaluate. which of the statements below is true?
answer
kl = lm
l is the midpoint of \\(\overline{km}\\)
jm < jl
lm < kl
submit answer

Explanation:

Step1: Identify point coordinates

$J=4,\ K=10,\ L=16,\ M=17$

Step2: Test option 1: $KL=LM$

$KL=16-10=6,\ LM=17-16=1$. $6
eq1$, false.

Step3: Test option 2: $JM

$JM=17-4=13,\ JL=16-4=12$. $13<12$ is false.

Step4: Test option 3: $L$ midpoint of $\overline{KM}$

Midpoint of $KM$: $\frac{10+17}{2}=13.5
eq16$, false.

Step5: Test option 4: $LM

$LM=1,\ KL=6$. $1<6$, true.

Answer:

○ LM < KL