Worksheet: Symmetry in 3D Shapes

In this worksheet, we will practice determining whether a 3D shape has plane symmetry, axis symmetry, or neither and stating the number of planes or axes of symmetry it has.


How many lines of symmetry does this figure have?


Consider the following solid.

Does the solid have plane symmetry?

  • ANo
  • BYes

Does the solid have an axis of symmetry?

  • ANo
  • BYes


How many planes of symmetry does this solid have?


This solid is formed of eight cubes.

How many planes of symmetry does it have, if any?

Does it have an axis of symmetry?

  • AYes
  • BNo


The following solid has an axis of symmetry about the shown axis. What is the order of rotational symmetry about the shown axis?

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