# Worksheet: Composing and Decomposing 2D Shapes

In this worksheet, we will practice how to compose 2D shapes to make a composite shape and decompose composite shapes into smaller shapes.

Q1:

If I cut the square along the dotted line, what shape will each piece be? • Aa circle
• Ba square
• Ca triangle

If I cut the square along the dotted line, what shape will each piece be? • Aa circle
• Ba square
• Ca rectangle

Q2:

If the given shape is cut along the dashed lines, what shapes are formed? • Aa parallelogram and a hexagon
• Ba hexagon and triangles
• Ca trapezoid and triangles
• Da parallelogram and squares
• Etriangles and a parallelogram

Q3:

What set of shapes can form the following figure? • A • B • C Q4:

What set of shapes can form the following figure? • A • B • C Q5:

Which group of shapes can make this picture? • A • B • C Q6:

If the given shape is cut along the dashed line, what shapes are formed? • ATriangles
• BParallelograms
• CSquares
• DTrapezoids
• ERectangles

Q7:

If the given shape is cut along the dashed line, what shapes are formed? • Aa triangle and a parallelogram
• Ba parallelogram and a square
• Ca hexagon and a triangle
• Da trapezoid and a triangle
• Ea parallelogram and a hexagon

Q8:

How many line segments are needed to divide a square into 3 triangles?

Q9:

is a rectangle where and are drawn. How many triangles can be found in the rectangle? Q10:

is a square where and are drawn. How many triangles can be found in the square? Q11:

Break the following shape into triangles and rectangles, and then determine the number of triangles. Q12:

What set of shapes can form the following figure? • A • B • C Q13:

Daniel has used shapes to make this picture of a house. What shape is the door?

• Aa circle
• Ba rectangle
• Ca square

What shapes are the windows?

• Aa square and a circle
• Ba square and a triangle
• Ca rectangle and a triangle

How many triangles has he used?

• A1
• B2
• C3

Q14:

Mason and Emma have used shapes to make a picture of a person. Mason has used more triangles than Emma.

Which picture is Mason’s?

• A • B Q15:

Choose the group of shapes I can use to build this rocket. • A • B • C Q16:

Matthew is building this robot out of shapes. He ran out of rectangles to make the body. What can he use instead? • A • B • C Q17: How many squares are in the picture?

How many triangles are in the picture?

How many half circles are in the picture?