What is isometry in mathematics?
Understand the Problem
The question asks for the definition of "isometry" in mathematics. This involves understanding that isometry refers to a transformation that preserves distance between points.
Answer
An isometry is a transformation that preserves distance between points.
In mathematics, an isometry is a transformation that preserves distance between points. This means the shape and size of an object remain unchanged during the transformation. Examples include rotations, reflections, and translations.
Answer for screen readers
In mathematics, an isometry is a transformation that preserves distance between points. This means the shape and size of an object remain unchanged during the transformation. Examples include rotations, reflections, and translations.
More Information
The word "isometry" comes from the Greek words "isos" meaning "equal" and "metron" meaning "measure."
Tips
A common mistake is to think that all transformations are isometries. Dilations, for example, change the size of an object and are therefore not isometries.
Sources
- Isometry - Wikipedia - en.wikipedia.org
- Isometry in Geometry | Definition, Types & Dilation - Study.com - study.com
- Isometry Explained (Guide w/ 9 Step-by-Step Examples!) - calcworkshop.com
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