Question

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

% = kl
kl < jm

k is the mid - point of jl
lm < jk

Explanation:

Step1: Analyze segment lengths visually

By looking at the number - line diagram, we can see the relative positions and lengths of the line - segments.

Step2: Evaluate each statement

• For the statement \(JK = KL\): From the diagram, \(JK\) has a length of \(1\) unit (from \(7\) to \(8\)) and \(KL\) has a length of \(3\) units (from \(8\) to \(11\)), so \(JK

eq KL\).

• For the statement \(KL\lt JM\): \(KL = 3\) units (from \(8\) to \(11\)), \(JM\) has a length of \(8\) units (from \(7\) to \(15\)), so \(KL\lt JM\) is true.
• For the statement \(K\) is the mid - point of \(JL\): \(JL\) has a length of \(4\) units (from \(7\) to \(11\)), and the mid - point of \(JL\) would be at \(9\) if \(JL\) is evenly divided. \(K\) is at \(8\), so \(K\) is not the mid - point of \(JL\).
• For the statement \(LM\lt JK\): \(LM\) has a length of \(4\) units (from \(11\) to \(15\)) and \(JK\) has a length of \(1\) unit (from \(7\) to \(8\)), so \(LM\gt JK\).

Answer:

\(KL\lt JM\)