In parallelogram KLMN if MP=19 find MK

Bruce Seymour asked Jul 9, 2023

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Bruce Seymour asked Jul 9, 2023

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13 votes

Given a parallelogram

Theorem: the diagonals of a parallelogram bisects each other

Thus

$\begin{gathered} |MP|=|PK| \\ \text{therefore} \\ |MK|=|MP|+|PK| \end{gathered}$
$\begin{gathered} \text \\ \textPK \\ |MK|=19+19=38 \end{gathered}$

Hence, the measure of line MK is 38

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