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LMNP is a parallelogram.
On a coordinate plane, parallelogram L M N P is shown. Point L is at (negative 4, 1), point M is at (2, 4), point N is at (3, 2), and point P is at (negative 3, negative 1).
What additional information would prove that LMNP is a rectangle?
The length of LM is StartRoot 45 EndRoot and the length of MN is StartRoot 5 EndRoot.
The slope of LP and MN is –2.
LM ∥ PN
LP ⊥ PN
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GPT-5 mini
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LP ⟂ PN.
Reason: In a parallelogram, if one interior angle is a right angle (i.e. two adjacent sides are perpendicular), then all angles are right and the parallelogram is a rectangle. Showing LP ⟂ PN gives a right angle at P, so LMNP is a rectangle.
Reason: In a parallelogram, if one interior angle is a right angle (i.e. two adjacent sides are perpendicular), then all angles are right and the parallelogram is a rectangle. Showing LP ⟂ PN gives a right angle at P, so LMNP is a rectangle.
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