Grade 2 Geometry Worksheets

Free printable geometry practice for Grade 2 students. Generate problems, solve them on screen or paper, and download as PDF.

Practice Worksheet

Grade 2 Geometry Practice

Solve each problem. Show your work.

  1. 1.
    Two equal squares are joined side by side. What larger shape do they make?
  2. 2.
    A square is cut from one corner to the opposite corner. What two shapes are made?
  3. 3.
    Which 3D object has 6 square faces?
  4. 4.
    A triangle is turned around. Does it still have 3 sides?
  5. 5.
    Which object has 2 circular faces and 1 curved surface?
  6. 6.
    On a simple map, the library is above the park. Which place is below the library?
Show answer key
  1. Question 1: a rectangle
  2. Question 2: two triangles
  3. Question 3: a cube
  4. Question 4: yes
  5. Question 5: a cylinder
  6. Question 6: the park

Free Practice Worksheets

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Foundations

Build confidence with approachable problems

6 problems

Solve each problem. Take your time.

  1. 1.
    Identify the number of vertices on a pentagon.
  2. 2.
    Calculate the perimeter of a rectangle with a length of 5 cm and a width of 3 cm. (Perimeter = length + length + width + width)
  3. 3.
    A square has a side length of 4 cm. How many unit squares (1 cm by 1 cm) are needed to cover the area of this square?
  4. 4.
    Name the 3D shape that has 6 identical square faces.
  5. 5.
    If you compose two identical right triangles, what new 2D shape can you form?
  6. 6.
    How many edges does a rectangular prism have?
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On Level — Mixed Review

Full range of grade expectations

6 problems

Solve each problem. Show your work.

  1. 1.
    Look at a triangle and a square. How many total corners (vertices) do they have if you add them together?
  2. 2.
    A rectangle has sides of 4 cm and 6 cm. What is the perimeter of this rectangle?
  3. 3.
    Sarah has a square piece of paper. She cuts it into two identical triangles. What new shapes did she create?
  4. 4.
    A cube has 6 faces. If you have 3 cubes, how many faces do you have in total? (Hint: Use multiplication)
  5. 5.
    A tile floor is made of a grid that is 5 rows long and 4 columns wide. How many square tiles are on the floor in total?
  6. 6.
    Which shape has 0 sides and 0 corners: a circle, a hexagon, or a pentagon?
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What Your Child Will Learn

Grade 2 geometry introduces the idea that shapes can be composed and decomposed — two triangles can form a square, or a hexagon can be split into triangles. Students explore congruence informally, recognizing when two shapes are the same size and shape even if rotated or flipped, and they begin classifying quadrilaterals and other polygons by their number of sides.

Students extend their work with three-dimensional objects by sorting prisms and pyramids according to the shapes of their faces, and they describe the relationship between 2D faces and the 3D objects they form. Simple symmetry is introduced, with students folding shapes to find a line that divides them into matching halves. Position and direction work grows to include describing a path using a sequence of movements on a grid.

Skills Covered

  • Composing and decomposing shapes from smaller shapes
  • Recognizing congruent shapes regardless of orientation
  • Classifying polygons by number of sides
  • Sorting 3D objects (prisms, pyramids) by their faces
  • Identifying a single line of symmetry by folding
  • Describing movement along a path using position words

Curriculum Aligned: Aligned with Strand E (Spatial Sense): composing and decomposing shapes, and describing the relationships between 2D shapes and 3D objects.

Parent Tip: Pattern blocks are perfect for this stage — challenge your child to build a hexagon out of triangles, then out of trapezoids and a triangle, to see there's more than one way to compose the same shape.

What your child will practice

Practice core geometry skills aligned with Grade 2 curriculum standards, including problem-solving and conceptual understanding.

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Frequently Asked Questions

Why is geometry important in math?

Geometry develops spatial reasoning, logical thinking, and proof skills. It connects math to the physical world through shapes, measurements, and transformations.

How can I support geometry learning at home?

Build with blocks, identify shapes in the environment, measure rooms, and use drawing tools. Hands-on activities make geometry concepts concrete.

What geometry topics are covered in each grade?

K-2: identifying shapes and their properties. Grades 3-5: area, perimeter, angles. Grades 6-8: coordinate geometry, transformations, volume. Grades 9-12: proofs, trigonometry, circles.

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