Home > Geometry > Composing and Decomposing Shapes


Free worksheets on composing and decomposing shapes would definitely give elementary kids a clear understanding on 2 D, 3 D and composite shapes which form the basis of Geometry. Other topics that can addressed with the help of composing and decomposing shapes are fractions, proportions, area, and perimeter. Total surface area and volume are two important concepts when you deal with 3 D shapes.

Composing is combining or joining two or more shapes to form a new shape. Decomposing, as the name implies, is the splitting or breaking a shape into two or more shapes. An example is illustrated below

Decomposing a composite shape:

When you have practiced all the worksheets here, you will easily use two-  dimensional shapes like squares, rectangles, triangles, trapezoids, circles and three- dimensional shapes like cubes, cuboids, hemispheres, right circular cones, rectangular pyramids to create composite shapes and also to create new shapes from composite shapes.

Fun filled, logical thinking worksheets are here for free download. Think well before you build and break!!!


Decompose to new shapes and name them

Decompose - Cut Paste activity - 3 D

Frequently Asked Questions!!

1. How do you decompose a rectangle?

A rectangle can be decomposed into
1. Four triangles
2. Two squares
3. Two triangles
4. A square and two triangles
5. A rhombus and four triangles

2. How to compose and decompose shapes?

You can compose shapes by joining two or more standard shapes in different ways to form a new one. Eg. Join two right angled triangles along its hypotenuse to form a square. Decompose a shape by splitting them into various other standard shapes. Eg. A hexagon can be split into 6 triangles.

3. What is the difference between composing and decomposing?

Composing shapes is to build or join shapes and decomposing is to split or break shapes. Shapes here mean geometric 2D and 3D shapes.

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