Line of Symmetry
Pronunciation: /laɪn ʌv ˈsɪm.ɪ.tri/ Explain
Click on the blue point and drag it to change the figure.|
Note that the blue point on the line of symmetry is always the same distance from the sides of the parabola.
|Manipulative 1 - Line of Symmetry of a Parabola Created with GeoGebra.||
A line of symmetry is a
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.
may have an
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.
Click on the blue point an drag it to change the figure|
Note that the blue point on the line of symmetry is always equidistant from both functions.
|Manipulative 2 - Line of Symmetry Between Inverse Functions Created with GeoGebra.|
- McAdams, David E.. All Math Words Dictionary, line of symmetry. 2nd Classroom edition 20150108-4799968. pg 109. Life is a Story Problem LLC. January 8, 2015. Buy the book
- symmetry. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 8/31/2018. http://www.merriam-webster.com/dictionary/symmetry. Buy the book
Cite this article as:
McAdams, David E. Line of Symmetry. 4/24/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/l/lineofsymmetry.html.
4/24/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
8/31/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
10/11/2008: Initial version. (McAdams, David E.)