Question

lm = 5.68
lp = 5.39
mn = 6
mp = 2.24
in the diagram, quadrilateral lmno is a parallelogram. what is the length of \\(\overline{np}\\)?
\\(\bigcirc\\) a. 6
\\(\bigcirc\\) b. 5.68
\\(\bigcirc\\) c. 5.39
\\(\bigcirc\\) d. 2.24

Explanation:

Step1: Recall Parallelogram Diagonals Property

In a parallelogram, the diagonals bisect each other. So, \( LP = NP \) and \( MP = OP \).

Step2: Identify \( LP \) Value

Given \( LP = 5.39 \), so \( NP = LP = 5.39 \approx 5.39 \) (matching option C's 5.39, likely a typo as 5.30 vs 5.39, but based on property, \( NP = LP \)).

Answer:

C. 5.39 (assuming 5.30 is a typo, correct by parallelogram diagonals bisecting, so \( NP = LP = 5.39 \))