List of Geometric Shapes

"Math Salamanders Free Math Sheets"

$List of Geometric Shapes Salamander holding ball$

Welcome to the Math Salamanders' Geometric Shapes Information Page.

Here you will find a list of different geometric shapes to help you to identify a range of 2d and 3d shapes.

To view the sheets, simply click on the thumbnail of the free printable Math sheets and a new browser window will open to display a larger version of the sheet.

To print the sheet, click on file and then go to print. For optimal printer settings, please set your page margins to zero.

To save the sheet directly onto your computer, right-click the large version of this free Math sheet and choose 'Save Image As'.

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List of Geometric Shapes

Here you will find our list of different Geometric shapes. There is a 2d shape area followed by a 3d shape area.

There is an image of each shape, as well as the properties that the shape has. Using these sheets will help your child to:

know the properties of different 2d & 3d shapes;
recognise different 2d & 3d shapes;
know the interior angles of regular polygons;

All the Math sheets in this section follow the Elementary Math Benchmarks.

2d Geometric Shapes

Here are our list of 2d geometric shapes, including triangles, quadrilaterals and polygons

List of Geometric Shapes - Triangles

Equilateral Triangle

$geometric shapes equilateral triangle$

Equilateral triangles have all angles equal to 60°, and all sides equal length.

All equilateral triangles have 3 lines of symmetry.

Isoscles Triangle

$Isosceles triangle$

Isosceles triangles have 2 angles equal and 2 sides of equal length.

All isosceles triangles have a line of symmetry.

Scalene Triangle

$scalene triangle$

Scalene triangles have no angles equal, and no sides of equal length.

Right Triangle

$right triangle or right angled triangle$

Right triangles (or right angled triangles) have one right angle (equal to 90°).

Obtuse Triangle

$obtuse triangle$

Obtuse triangles have one obtuse angle (an angle greater than 90°). The other two angles are acute (less than 90°).

Acute Triangle

$acute triangle$

Acute triangles have all angles acute.

List of Geometric Shapes - Quadrilaterals

A quadrilateral is a polygon with 4 sides.

There are quite a few members of the quadrilateral family. There are also some members which are a subset of other members of this family!
See below if this confuses you!

Square

$list of geoemtric shapes square$

Squares have 4 equal sides and 4 right angles.

They have 4 lines of symmetry.

All squares belong to the rectangle family.

All squares belong to the rhombus family.

All squares are also parallelograms.

Rectangle

$list of geometric shapes rectangle$

Rectangles have 4 sides and 4 right angles.

They all have 2 lines of symmetry (4 lines if they are also a square!)

All rectangles belong to the parallelogram family.

Rhombus

$list of geometric shapes rhombus$

Rhombuses (rhombii) have 4 equal sides.

Both pairs of opposite sides are parallel.

They all have 2 lines of symmetry (4 lines if they are a square!)

All rhombuses belong to the parallelogram family.

Parallelogram

$list of geometric shapes parallelogram$

Parallelograms have 2 pairs of parallel sides.

Some parallelograms have lines of symmetry (depending on whether they are also squares, rectangles or rhombuses), but most do not.

Trapezoid US
(Trapezium UK)

$quadrilateral family trapezium$

Trapezoids US (Trapeziums UK) have one pair of parallel sides.

Some trapezoids have a line of symmetry.

Please note the differences between the definitions for US and UK.

Kite

$quadrilateral family kite$

Kites have 2 pairs of equal sides which are adjacent to each other.

Trapezium US
(Trapezoid UK)

$Trapezium US$

Trapeziums US (Trapezoids UK) are quadrilaterals with no parallel sides.

Please note the differences between the definitions for US and UK.

Regular and Irregular Polygons

Here is a list of regular polygons from 3 to 10 sides.

For each polygon, a regular and an irregular example have been shown.

Any regular shape will be mathematically similar to the example shown (having the same angles).

There are an infinite number of examples of different irregular polygons that could be shown, and only one example is given.

Equilateral Triangle

$equilateral triangle angles$

Angle: 60°

Interior angles add up to 180°

Irregular Triangle

$irregular shapes triangle$

Square

$regular shapes square$

Angle: 90°

Interior angles add up to 360°

Irregular Quadrilateral

$irregular quadrilateral$

Pentagon

$2d shapes regular pentagon$

Angle: 108°

Interior angles add up to 540°

Irregular Pentagon

$irregular pentagon$

Hexagon

$shapes for kids regular hexagon$

Angle: 120°

Interior angles add up to 720°

Irregular Hexagon

$list of geometric shapes irregular hexagon$

Heptagon

$regular heptagon$

Angle: 128.6°

Interior angles add up to 900°

Irregular Heptagon

$geometric shapes irregular heptagon$

Octagon

$2d shape regular octagon$

Angle: 135°

Interior angles add up to 1080°

Irregular Octagon

$geometric shapes irregular octagon$

Nonagon

$2 dimensional shapes regular nonagon$

Angle: 140°

Interior angles add up to 1260°

Irregular Nonagon

$irregular nonagon$

Decagon

$regular shapes decagon$

Angle: 144°

Interior angles add up to 1440°

Irregular Decagon

$shapes for kids irregular decagon$

The formulae for the interior angles of a polygon are as follows:

Total of interior angles = 180 x (number of sides - 2)

Angle = total of interior angles / number of sides

List of Geometrics Shapes - 3D Shapes

Here are some common 3D shapes that you should know.

Along with a picture of each shape, the number of faces, edges and vertices are also given.

Common properties of the 3D shapes are also given.

Cube $3 d shapes cube$	Cubes have 6 faces, 12 edges and 8 vertices. All sides on a cube are equal length. All faces are square in shape. A cube is a type of cuboid.
Cuboid $3 d shapes cuboid$	Cuboids have 6 faces, 12 edges and 8 vertices. All the faces on a cuboid are rectangular.
Sphere $3d geometric shapes sphere$	Spheres have 1 curved face, 0 edges and 0 vertices.
Cylinder $list of geometric shapes cylinder$	Closed Cylinders have 3 faces, 2 edges and 0 vertices. Closed cylinders have 2 circular or elliptical faces and one curved rectangular face.
Cone $shapes for kids cone$	Cones have 2 faces, 1 edge and 1 apex (which is described by some mathematicians as a vertex).
Triangular Prism $triangular prism$	Triangular Prisms have 5 faces, 9 edges, and 6 vertices. The two faces at either end are triangles, and the rest of the faces are rectangular.
Hexagonal Prism $hexagonal prism$	Hexagonal Prisms have 8 faces, 18 edges, and 12 vertices. The two faces at either end are hexagons, and the rest of the faces are rectangular.
Triangular-based Pyramid $printable 3d shapes triangular based pyramid$	Triangular-based pyramids have 4 faces, 6 edges and 4 vertices. The base is a triangle. All of the faces are triangular. If the triangular faces making up the prism are all equilateral, then the shape is also called a Tetrahedron.
Square-based Pyramid $3d geometric shapes square based pyramid$	Square based pyramids have 5 faces, 8 edges and 5 vertices The base is a square. All the other faces are triangular.
Hexagonal Pyramid $hexagonal pyramid$	Hexagonal pyramids have 7 faces, 12 edges, and 7 vertices. The base is a hexagon. All of the other faces are triangular.

Printable Shape Sheets - 2D & 3D Shape Sheets

Here you will find a selection of printable 2d and 3d shape sheets.

Each sheet is available in color or black and white, and labelled or unlabelled.

Using these sheets will help your child to:

recognise and name a range of 2d and 3d shapes;
recognise regular and irregular shapes.

All the free printable shape sheets in this section support Elementary Math benchmarks.

Printable Shapes 2D & 3D Shape Sheets

Geometry Formula Sheet

Here you will find our support page about different Geometry formulas, including formulas about triangles, circles, quadrilaterals and polygons, as well as 3d shape formulae.

Using these sheets will help your child to:

know different geometric formula;
apply a range of formula to solve problems.

All the Math sheets in this section follow the Elementary Math Benchmarks.

Geometry Formula Sheet

Return to Geometry Section

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