Question

Triangle J L N is cut by line segment K M. LIne segment K M goes from side J L to side L N. The length of J K is 10, the length of K L is 16, the length of L M is 24, and the length of M N is 15. Is KM ∥ JN? Why or why not? No, because StartFraction 16 Over 10 EndFraction not-equals StartFraction 24 Over 15 EndFraction. Yes, because StartFraction 10 Over 24 EndFraction equals StartFraction 15 Over 16 EndFraction. Yes, because StartFraction 16 Over 10 EndFraction equals StartFraction 15 Over 24 EndFraction Yes, because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction.

Answer 1

Answer:

D. Yes, because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction.

Step-by-step explanation:

When two line are parallel, they do not meet even with continuous extension of their length.

In the given triangle JLN, line segment KM would be parallel to side JN if;

$\frac{KL}{JK}$ = $\frac{LM}{MN}$

Given that: KL = 16, JK = 10, LM = 24 and MN = 15.

⇒  $\frac{16}{10}$ = $\frac{24}{15}$

     $\frac{8}{5}$ = $\frac{8}{5}$

Therefore, since the ratios are the same then KM ∥ JN. So that the statement; Yes, because  $\frac{16}{10}$ equals  $\frac{24}{15}$ is correct.