The post What is Symmetric Shapes, Figures and Patterns appeared first on OnTimeFeed.
]]>Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, “symmetry” has a more precise definition, that an object is invariant to any of various transformations; including reflection, rotation or scaling. Although these two meanings of “symmetry” can sometimes be told apart, they are related, so they are here discussed together. The opposite of symmetric shapes is asymmetric shapes.
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A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion. ^{}This means that an object is symmetric if there is a transformation that moves individual pieces of the object but doesn’t change the overall shape.
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If a figure/shape can be folded or divided into half so that the two halves match exactly then such a figure/shape is called a symmetric shape.
The shapes below are all symmetric shapes.
The dotted line in each of the symmetric figures above that divides the figure into two equal halves is called the line of symmetry.
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I have folded a rectangle one way, and it didn’t work.
When I try it this way, It does work (the folded part sits perfectly on top, all edges matching):
A Triangle can have 3, 1 or no line of symmetry. Therefore triangle is also included in symmetric shapes.
A line that goes through circle’s center is a Line of Symmetry. So a Circle has infinite Lines of Symmetry.
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The post What is Symmetric Shapes, Figures and Patterns appeared first on OnTimeFeed.
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