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Mirror image of the shape
- A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
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A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
- Reflection Definition
- Reflections in The Coordinate Plane
- Reflection Symmetry
- Glide Reflection
In geometry, a reflection is a rigid transformation in which an object is mirrored across a line or plane. When an object is reflected across a line (or plane) of reflection, the size and shape of the object does not change, only its configuration; the objects are therefore congruent before and after the transformation. The figure below shows sever...
There are a number of different types of reflections in the coordinate plane. The most common cases use the x-axis, y-axis, and the line y = x as the line of reflection.
A line of reflection is also a line of symmetryif a geometric shape or figure can be reflected across the line back onto itself. Reflecting the right side of the butterfly across line l maps it to the butterfly's left side. The same result occurs if the left side of the butterfly is reflected across line l, so line l is also a line of symmetry. You...
A glide reflection is a combination (also referred to as a composition) of a translationfollowed by a reflection. The preimage of a concave hexagon is translated to the right then reflected across the line of reflection to produce the final image shown above.
In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.
Reflections in math. Formula, Examples, Practice and Interactive Applet on common types of reflections like x-axis, y-axis and lines: Home. Transformations. Reflections. Reflect a Point. Across x axis, y axis and other lines. A reflection is a kind of transformation.
Learn about reflection in mathematics: every point is the same distance from a central line.
Reflections are of great interest in mathematics as they can be used in different areas of geometry to prove many results. In calculus and analysis, there are terms which make use of reflection like even and odd functions, inverse of a function, etc.
