Planes of Symmetry Flashcards

All 5 cards in this deck

What is a plane of symmetry of a 3D solid?

A flat surface that cuts the solid into two halves, each one a mirror image of the other.

How many planes of symmetry does a cube have?

99 — 33 parallel to pairs of faces and 66 through pairs of opposite edges.

How many planes of symmetry does a cuboid with three different edge lengths have?

33 — one halfway through each pair of opposite faces.

How many planes of symmetry does a cylinder have?

Infinitely many — every vertical plane through its axis, plus the horizontal plane halfway up.

True or false? A prism whose cross-section is an equilateral triangle has 44 planes of symmetry.

True. Three planes along the length (one through each vertex of the triangle) and one halfway along the length.