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If a two-dimensional shape has a line of symmetry, the shape is also symmetrical with respect to the plane passing through that line and perpendicular to the plane of the shape. For example, the floor of a rectangular room is symmetrical about a vertical plane halfway along the length (or breadth) of the room.

Some 3-dimensional shapes will also have planes of symmetry. A sphere has infinitely many. An ellipsoid has three - one each along two of its axes. A cuboid, similarly, has 3. A torus (doughnut) has one. A pyramid with a n-gon base will have n vertical planes, and so on.

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Q: What type of shape has planes of symmetry?
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Related questions

What 3d shape has 3 planes of symmetry?

A cube has three planes of symmetry.


How many planes of symmetry does a prism have?

This depends on the type of prism. If the shapes on the ends are pentagons, the prism has 6 planes of symmetry. If they are hexagons, it has 13 planes of symmetry. It has the same number of planes of symmetry as the shapes on the end have lines of symmetry, plus 1.


How many planes of symmetry does a cuboid have?

It depends on which type of cuboid we are talking about. If it is a CUBE (a special type of cuboid), then it has nine planes of symmetry. If it is a cuboid with length, width and height all different, then it has three planes of symmetry. If it is a cuboid with two equal measurements (say width and length), then it has five planes of symmetry.


What is the difference between lines of symmetry and planes of symmetry?

Lines of symmetry are 2 dimensional. Planes of symmetry are 3D.


How many planes of symmetry does a rectangle have?

There are 3 planes of symmetry in a rectange.


How many planes of symmetry does a cube have?

there is 9 planes of symmetry in a cube


How many planes of symmetry does 3 d shapes have?

it depends on what kind of 3D shape you want. example= A sphere has an infinite amount of symmetry lines


How many planes of symmetry does a cuboid with 2 square faces have?

it has 5 planes of symmetry


How many planes of symmetry are there in cylinder?

There are infinite planes of symmetry in a cylinder in the same way that a circle has infinite lines of symmetry.


How many planes of symmetry does a rectangular solid have?

A rectangular solid that is not a cube has 3 planes of symmetry.


What is the symmetry of a circal?

Infinitely many planes of symmetry


What type of symmetry does a hexagon have?

depends on the shape. 4 or 8