Reflexive Property of Equality
Pronunciation: /rɪˈflɛk.sɪv ˈprɒp.ər.ti ʌv ɪˈkwɒl.ɪ.ti/ Explain
The reflexive property of equality for real numbers
states that a number always equals itself: a =
Think of a mirror. When you look in a reflection in a mirror,
everything on your right hand looks like it is on the left hand of the
reflection. This is a good way to remember the reflexive property.
- Start with a.
- The equal sign
is like a mirror. We will use it to reflect the
- Since the a is reflected across the equals,
a = a.
This is the reflexive property of equality.
|Figure 1: a reflected
as a = a.|
- McAdams, David E.. All Math Words Dictionary, reflexive property of equality. 2nd Classroom edition 20150108-4799968. pg 153. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra. 6th edition. pp 49-50. Thomson, Brooks/Cole. 2005. Buy the book
Cite this article as:
McAdams, David E. Reflexive Property of Equality. 5/2/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/reflexivepropofequality.html.
5/2/2019: Changed equations and expressions to new format. (McAdams, David E.)
3/29/2019: Clarified wording. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/4/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
10/5/2008: Initial version. (McAdams, David E.)