Question

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

Explanation:

Step1: Identify point coordinates

J=7, K=11, L=12, M=17

Step2: Calculate segment lengths

$JL = |12-7| = 5$; $LM = |17-12| = 5$
$JK = |11-7| = 4$; $KM = |17-11| = 6$; $JM = |17-7| = 10$

Step3: Evaluate each statement

Check if $JL=LM$: $5=5$ (True)
Check if L is midpoint of $\overline{JM}$: Midpoint of JM is $\frac{7+17}{2}=12$ (True)
Check if $KM>JM$: $6>10$ (False)
Check if $JK

Answer:

KM > JM