In parallelogram KLMN if MP=19 find PK. M P K N

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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### Problem Statement
In parallelogram KLMN, if \( MP = 19 \), find \( PK \).

### Diagram Description
The diagram shows parallelogram KLMN with vertices labeled as \( K \), \( L \), \( M \), and \( N \). There is a point \( P \) inside the parallelogram such that \( MP \) is given as 19 units. The task is to determine the length of \( PK \).

### Answer Submission
Please solve the problem and enter your answer in the box below.

**Answer:** [Input box]

[Submit Answer button with +/- option]

### Notes:
- Remember that in a parallelogram, the diagonals bisect each other. 
- Use geometric properties and relationships to find the solution.
- The sum of the segments of a diagonal in a parallelogram equals the length of the diagonal.

Feel free to explore various geometrical methods and properties to find the correct answer.
Transcribed Image Text:### Problem Statement In parallelogram KLMN, if \( MP = 19 \), find \( PK \). ### Diagram Description The diagram shows parallelogram KLMN with vertices labeled as \( K \), \( L \), \( M \), and \( N \). There is a point \( P \) inside the parallelogram such that \( MP \) is given as 19 units. The task is to determine the length of \( PK \). ### Answer Submission Please solve the problem and enter your answer in the box below. **Answer:** [Input box] [Submit Answer button with +/- option] ### Notes: - Remember that in a parallelogram, the diagonals bisect each other. - Use geometric properties and relationships to find the solution. - The sum of the segments of a diagonal in a parallelogram equals the length of the diagonal. Feel free to explore various geometrical methods and properties to find the correct answer.
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