Question

1. points m, n, and p are collinear, and n is between m and p. if mn = 18 cm and mp = 31 cm, then which of the following represents the length of $overline{np}$? (1) 13 cm (2) 18 cm (3) 31 cm (4) 49 cm

Explanation:

Step1: Usar la propiedad de segmentos colineales

Dado que \( M \), \( N \) y \( P \) son colineales y \( N \) está entre \( M \) y \( P \), se cumple que \( MP = MN + NP \).

Step2: Despejar \( NP \)

Reordenando la fórmula, tenemos \( NP = MP - MN \). Sustituyendo los valores dados (\( MP = 31 \, \text{cm} \) y \( MN = 18 \, \text{cm} \)):
\( NP = 31 - 18 \)
\( NP = 13 \, \text{cm} \)

Answer:

(1) 13 cm