Worksheet: Decomposing 2D Figures

In this worksheet, we will practice identifying or counting all the 2D shapes used to build a given model and finding other models that can be made with the same set of 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 rectangle
  • Ba circle
  • Ca square

Q2:

If the given shape is cut along the dashed lines, what shapes are formed?

  • Aa hexagon and triangles
  • Ba trapezoid and triangles
  • Ca parallelogram and squares
  • Dtriangles and a parallelogram
  • Ea parallelogram and a hexagon

Q3:

How many squares are in the picture?

How many triangles are in the picture?

How many half circles are in the picture?

Q4:

What set of shapes can form the following figure?

  • A , ,
  • B , ,
  • C , ,

Q5:

What set of shapes can form the following figure?

  • A , ,
  • B , ,
  • C , ,

Q6:

Which group of shapes can make this picture?

  • A , ,
  • B , ,
  • C , ,

Q7:

If the given shape is cut along the dashed line, what shapes are formed?

  • AParallelograms
  • BRectangles
  • CTriangles
  • DTrapezoids
  • ESquares

Q8:

If the given shape is cut along the dashed line, what shapes are formed?

  • Aa hexagon and a triangle
  • Ba trapezoid and a triangle
  • Ca parallelogram and a square
  • Da triangle and a parallelogram
  • Ea parallelogram and a hexagon

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