Question

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

D

Explanation:

Answer 2

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

Explanation:

Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.

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The other "yes" choice does not properly show corresponding segments, so actually makes a false claim. It is not true that 16/10 = 15/24.