Line Symmetry And Plane Symmetry

These lessons help Geometry students learn about line symmetry and plane symmetry, with video lessons, examples and solutions.

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Related Pages
Lines Of Symmetry
Rotational Symmetry
Polygons & Symmetry
More Geometry Lessons

The following diagram shows the line of symmetry for quadrilaterals and triangles. Scroll down the page for more examples and solutions on lines of symmetry.

Lines of Symmetry

Reflection Symmetry (or Line Symmetry) and Rotational Symmetry

Symmetry in a figure exists if there is a reflection, rotation, or translation that can be performed and the image is identical. Reflectional symmetry exists when the figure can be folded over onto itself along a line. This line is called the “line of symmetry”. In regular polygons, the number of lines of symmetry equals the number of sides in the polygon.

Line Symmetry and Rotational Symmetry

Learn to identify lines of symmetry and rotational symmetry

Plane Symmetry

Plane symmetry is analogous to line symmetry, except that it is in three dimensions. The three dimensional figure is divided into two halves by a plane.

The following diagram shows the planes of symmetry of a cuboid or rectangular solid.

plane symmetry

Plane symmetry and axis symmetry

Examples of plane symmetry and axis symmetry

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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