Sorting quadrilaterals

Grade 3 · Shapes and angles

Quadrilaterals are sorted into a two-way (Carroll) diagram by two properties, such as 'has 4 right angles' and 'has 4 equal sides'.

Each shape is a random size and turned to any angle, so a square can sit like a diamond. Some pairs of properties leave one box empty on purpose, because every rectangle, for example, has two pairs of parallel sides.

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What changes each time

• Squares, rectangles, rhombuses, parallelograms, trapezoids, kites and irregular shapes
• Right angles, equal sides and parallel sides
• Shapes turned to any angle

More shapes and angles practice

• Sides and corners of 2D shapes (Grade 2)
• Faces, edges and vertices (Grade 3)
• Turning and flipping letters (Grade 3)
• Counting squares of every size (Grade 3)
• Inside or outside the loop (Grade 3)
• Which piece fills the gap? (Grade 3)
• Symmetry on a grid (Grade 4)
• Rotations and reflections (Grade 4)
• Reading a protractor (Grade 4)
• Parallel and perpendicular lines (Grade 4)
• Parts of a circle (Grade 4)
• Draw without lifting your pencil (Grade 4)
• Can these sticks make a triangle? (Grade 4)
• 3D shapes: side view (Grade 5)
• Rectangle in a quarter circle (Grade 5)
• Painted cube puzzle (Grade 5)
• Rope around the Earth (Grade 5)
• Can dominoes cover the board? (Grade 5)
• Angles in a circle (Grade 6)
• Inscribed circle in a right triangle (Grade 8)

All practice topics