Rectangles are recognized to have the same qualities as parallelograms. The alternative with the additional information would demonstrate that LMNP is a rectangle is LP ⊥ PN.
<h3>
What are rectangles?</h3>
- A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.
- It can also be classified as an equiangular quadrilateral because all of its angles are equal, or a parallelogram with a right angle.
- A square is a rectangle with four equal-length sides.
What to know about parallelogram and rectangle:
- They both have two sorts of parallel sides as well as two pairs of opposite sides that are said to be congruent. All of the properties of a parallelogram are said to be shared by a rectangle.
- This results in a rectangle and, invariably, a parallelogram.
- However, a parallelogram is not generally referred to as a rectangle.
- Option d, LP ⊥ PN as the supplementary information, would demonstrate that LMNP is a rectangle.
Therefore, rectangles are recognized to have the same qualities as parallelograms. The alternative with the additional information would demonstrate that LMNP is a rectangle is LP ⊥ PN.
Know more about rectangles here:
brainly.com/question/1549055
#SPJ4
The correct question is given below:
LMNP is a parallelogram.
What additional information would prove that LMNP is a rectangle?
A. The length of LM is √45 and the length of MN is √5.
B. The slope of LP and MN is –2.
C. LM ∥ PN
D. LP ⊥ PN
