Question

in parallelogram lmno, lm = 4.12, mn = 4, ln = 5, and om = 6.4. diagonals \\( \overline { l n } \\) and \\( \overline { o m } \\) intersect at point r. what is the length of \\( \overline { o r } \\)?

a. 2
b. 2.06
c. 2.5
d. 3.2
e. 12.8

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Explanation:

Step1: Recall property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, if \(OM = 6.4\), then \(OR=\frac{1}{2}OM\).

Step2: Calculate the length of \(OR\)

\(OR=\frac{1}{2}\times6.4 = 3.2\)

Answer:

D. \(3.2\)