What are all of the properties of a rectangle?
1 Answer
Dec 12, 2017
Here are some that spring to mind...
Explanation:
A rectangle:
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is equiangular: All the internal angles are the same.
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has opposite sides are parallel and of the same length, so it is a parallelogram.
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has rotational symmetry of order
#2# about its centre or#4# if it is also a square (i.e. equilateral). -
has reflective symmetry about each of two axes, running the the midpoint of opposite sides. If also a square, then it has an additional pair of axes of reflective symmetry running through opposite corners.
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has symmetry group
#D_2# , unless it is also a square, in which case it has symmetry group#D_4# . -
has area given by the product of the lengths of any two adjacent sides.
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can form a bi-periodic tessellation of the plane.
