# 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:

Break the following shape into triangles and rectangles, and then determine the number of triangles. Q9:

What set of shapes can form the following figure? • A • B • C Q10:

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

Q11:

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 Q12:

Choose the group of shapes I can use to build this rocket. • A • B • C Q13:

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 Q14: How many squares are in the picture?

How many triangles are in the picture?

How many half circles are in the picture?

Q15:

Scarlett made this picture out of shapes. Find another picture that uses the same shapes.

• A • B • C Q16:

Ethan has the given shapes. Which picture can he make with them? • A • B • C 