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.

Q1:

How many lines of symmetry does this figure have?

Q2:

Consider the following solid.

Does the solid have plane symmetry?

  • ANo
  • BYes

Does the solid have an axis of symmetry?

  • ANo
  • BYes

Q3:

How many planes of symmetry does this solid have?

Q4:

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

Q5:

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

Q6:

How many planes of symmetry does the cube have?

Q7:

Complete the following: A plane of symmetry cuts a solid into .

  • Atwo different shapes
  • Bthree different shapes
  • Cthree identical shapes that are mirror images of each other
  • Dtwo identical shapes that are mirror images of each other
  • Efour identical shapes that are mirror images of each other

Q8:

How many planes of symmetry does this cylinder have?

  • A0 planes of symmetry
  • B2 planes of symmetry
  • CInfinite planes of symmetry
  • D3 planes of symmetry
  • E1 plane of symmetry

Q9:

The given isosceles trapezoidal prism is a prism with a base shape of an isosceles trapezoid. How many planes of symmetry does this prism have?

  • AInfinite planes of symmetry
  • B2 planes of symmetry
  • C3 planes of symmetry
  • D1 plane of symmetry
  • E0 planes of symmetry

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