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is parallelogram cdef a rectangle?

Question

is parallelogram cdef a rectangle?

Explanation:

Step1: Recall the property of a rectangle

In a rectangle, the diagonals are equal in length.

Step2: Calculate the lengths of the diagonals

Let's assume the diagonals of parallelogram \(CDEF\) are \(CF\) and \(DE\). If \(CB = 63\), then the length of diagonal \(CF=2\times CB = 2\times63 = 126\). If \(BD = 55\), then the length of diagonal \(DE = 2\times BD=2\times55 = 110\).

Step3: Compare the lengths of the diagonals

Since \(126
eq110\), the diagonals of parallelogram \(CDEF\) are not equal.

Answer:

no