Origin Symmetry
odd functions
Origin symmetry refers to the type of symmetry that a shape or object possesses when it is rotated 180 degrees around its center point, also known as the origin. This means that if an object has origin symmetry, it looks the same before and after the rotation.
To determine if an object has origin symmetry, one can look at its coordinates. If the coordinates of a point (x, y) and its corresponding point (-x, -y) are the same distance from the origin, then the object has origin symmetry. This is because rotating the object by 180 degrees around the origin will result in the point (x, y) being mapped to the point (-x, -y) and vice versa.
Objects that possess origin symmetry include circles, squares, rectangles, and regular polygons. In contrast, objects that do not have origin symmetry include triangles, parallelograms, and irregular shapes.
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