Rectangle are known to have the same properties as parallelogram. The option that has the additional information would prove that LMNP is a rectangle is LP ⊥ PN.
What to known about parallelogram and rectangle
They both are known to have two types of parallel sides and two pairs of opposite sides which are said to be congruent. A rectangle is said to have all of the properties of a parallelogram.
This makes a rectangle also and always a parallelogram. But , a parallelogram is not always said to be a rectangle.
Option d which is LP ⊥ PN is the additional information would prove that LMNP is a rectangle.
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