Question

look at the diagram and evaluate. which of the statements below is true?
answer
lm > kl
km < lm
jk = kl
km > jm

Explanation:

Step1: Calculate the length of each segment

• For \(LM\): \(M = 19\), \(L = 15\), so \(LM=19 - 15=4\)
• For \(KL\): \(K = 10\), \(L = 15\), so \(KL = 15-10 = 5\)
• For \(JK\): \(J = 5\), \(K = 10\), so \(JK=10 - 5=5\)
• For \(KM\): \(K = 10\), \(M = 19\), so \(KM=19 - 10=9\)
• For \(JM\): \(J = 5\), \(M = 19\), so \(JM=19 - 5=14\)

Step2: Compare the values

• \(LM = 4\), \(KL = 5\), so \(LM\lt KL\)
• \(KM = 9\), \(LM = 4\), so \(KM\gt LM\)
• \(JK = 5\), \(KL = 5\), so \(JK = KL\)
• \(KM = 9\), \(JM = 14\), so \(KM\lt JM\)

Answer:

\(JK = KL\)