Line of Symmetry

Pronunciation: /laɪn ʌv ˈsɪm ɪ tri/ ?
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Manipulative 1: Parabola

A line of symmetry is a line about which a geometric object or objects are reflection symmetrical. Manipulative 1 shows the line of symmetry of a parabola. If the parabola is reflected about this line of symmetry it remains unchanged. Click on the light blue point labeled 'ClickNDrag' and drag it. Notice that the line of symmetry is equidistant from both sides of the parabola.

A function may have an inverse. A function and its inverse are symmetrical around the line y = x. Manipulative 2 shows the function y = x2/4 and its inverse y = (4x)1/3. Click on the light blue point labeled 'ClickNDrag' and drag it along the line y = x. Note that the line is equidistant from the function and its inverse.

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Manipulative 2: Inverse functions

References

  1. symmetry. merriam-webster.com. Encyclopedia Britannica. (Accessed: 2009-03-12). http://www.merriam-webster.com/dictionary/symmetry.

Cite this article as:


Line of Symmetry. 2008-10-11. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/l/lineofsymmetry.html.

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2008-10-11: Initial version (McAdams, David.)

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