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.
    Count the number of vertices on a triangle.
  2. 2.
    A rectangle has 2 sides of length 3 and 2 sides of length 5. What is the perimeter? (3 + 5 + 3 + 5 = ?)
  3. 3.
    How many faces does a cube have?
  4. 4.
    If you combine two identical squares side-by-side, how many total sides does the new shape have?
  5. 5.
    A shape has 4 equal sides and 4 square corners. Name this shape.
  6. 6.
    How many edges does a rectangular prism have?
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On Level — Mixed Review

A selection of topic skills

6 problems

Solve each problem. Show your work.

  1. 1.
    Look at a triangle and a square. How many more corners (vertices) does a square have than a triangle?
  2. 2.
    A rectangle has a length of 5 inches and a width of 3 inches. What is the perimeter of the rectangle?
  3. 3.
    Sarah has 4 identical small squares. If she puts them together side-by-side to make one large square, how many sides does the new large shape have in total?
  4. 4.
    Which 3D shape has 6 flat faces, 8 corners, and 12 edges? (Example: A box)
  5. 5.
    You are building a garden bed in the shape of a rectangle. One side is 10 feet long and the other side is 8 feet long. If you want to put a fence around the whole garden, how many feet of fencing do you need?
  6. 6.
    If you cut a square in half diagonally from corner to corner, what two shapes do you create?
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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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