Questions: Theorems about Parallelograms: Mastery Test LM=5.66 LP=5.39 MN=6 MP=2.24 In the diagram, quadrilateral LMNO is a parallelogram. What is the length of NP? A. 6 B. 5.66 C. 5.39 D. 2.24

Theorems about Parallelograms: Mastery Test LM=5.66 LP=5.39 MN=6 MP=2.24 In the diagram, quadrilateral LMNO is a parallelogram. What is the length of NP? A. 6 B. 5.66 C. 5.39 D. 2.24
Transcript text: Theorems about Parallelograms: Mastery Test \[ L M=5.66 \] \[ L P=5.39 \] \[ M N=6 \] \[ \mathrm{MP}=2.24 \] In the diagram, quadrilateral $L M N O$ is a parallelogram. What is the length of $\overline{N P}$ ? A. 6 B. $\quad 5.66$ C. $\quad 5.39$ D. 2.24
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Solution

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Solution Steps

Step 1: Understand the properties of a parallelogram

The diagonals of a parallelogram bisect each other. This means the intersection point of the diagonals divides each diagonal into two equal segments.

Step 2: Apply the property to the given parallelogram

In parallelogram LMNO, the diagonals LN and MO intersect at point P. Therefore, LP = NP and MP = OP.

Step 3: Determine the length of NP

We are given that LP = 5.39. Since LP = NP, then NP = 5.39.

Final Answer

C. 5.39

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