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Question
parallelogram proofs practice
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the diagonals of parallelogram ( stuv ) intersect at point ( r ). if ( su ) is equal to 11 inches, what is the length of ( sr )?
(1 point)
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Step1: Recall the property of parallelogram diagonals
In a parallelogram, the diagonals bisect each other. That is, if \(SU\) and \(TV\) are the diagonals of parallelogram \(STUV\) intersecting at \(R\), then \(SR=\frac{1}{2}SU\).
Step2: Substitute the given value of \(SU\)
Given \(SU = 11\) inches. Using the formula \(SR=\frac{1}{2}SU\), we substitute \(SU\) with \(11\). So \(SR=\frac{1}{2}\times11\).
Step3: Calculate the value of \(SR\)
\(SR=\frac{11}{2}= 5.5\) inches.
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\(5.5\)