# 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