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:

𝐴 𝐡 𝐢 𝐷 is a rectangle where 𝐴𝐢 and 𝐡𝐷 are drawn. How many triangles can be found in the rectangle?

  • A10
  • B4
  • C8
  • D6

Q10:

𝐴 𝐡 𝐢 𝐷 is a square where 𝐴𝐢 and 𝐡𝐷 are drawn. How many triangles can be found in the square?

  • A8
  • B4
  • C10
  • D6

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?

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