Interactive educational worksheet for comparing 2D and 3D shapes based on properties like faces, edges, vertices, color, and rolling ability.

Let’s go through each sorting rule one by one and figure out how the shapes are grouped.

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1. Faces (Blue box)
Left circle: blue cube, yellow rectangular prism → both have flat faces (6 for cube, 6 for rectangular prism)
Right circle: red sphere, green marble → spheres have no flat faces — they’re curved all over!
✔ So this is sorted by: Shapes with flat faces vs Shapes with no flat faces

But wait — look at the green box labeled “Faces” too. It has empty left circle and right circle with a triangular prism and pyramid. Those also have flat faces. Maybe it’s meant to be filled? But since we’re just explaining how they’ve been sorted in the given boxes, let’s stick to what’s shown.

Actually — looking again: In the blue “Faces” box, left = shapes with flat faces, right = shapes with NO flat faces (spheres). That makes sense.

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2. Edges (Purple box)
Left circle: yellow cube, blue small cube → both have edges (lines where two faces meet)
Right circle: red sphere, blue cylinder → sphere has no edges; cylinder has 2 circular edges (top and bottom rims) — but maybe in early math, cylinders are considered to have “edges”? Wait — actually, in many primary curricula, cylinders are said to have 2 edges (the circles), while spheres have 0.

But here, the right circle has sphere AND cylinder together — so perhaps the sorting is:
Left: shapes with straight edges (cubes)
Right: shapes with curved or no edges (sphere has none, cylinder has curved edges)

Hmm — better way:
In some systems, “edges” means straight lines between faces. Cubes have 12 straight edges. Cylinder has 2 curved edges. Sphere has 0.
So maybe left = shapes with straight edges, right = shapes without straight edges.

Yes — that fits. Cube has straight edges. Sphere and cylinder do not have straight edges (cylinder’s edges are curved).

✔ Sorted by: Has straight edges vs Does not have straight edges

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3. Vertices (Yellow box)
Vertices = corners (points where edges meet)
Left circle: triangular prism, square-based pyramid → both have vertices (prism has 6, pyramid has 5)
Right circle: green sphere, pink cone → sphere has 0 vertices; cone has 1 vertex (at the tip)

Wait — cone has 1 vertex! So why is it grouped with sphere?

Ah — maybe the sorting is:
Left: shapes with MORE than 1 vertex
Right: shapes with 1 or 0 vertices

Cone has 1, sphere has 0 → both ≤1
Prism and pyramid have >1

✔ So sorted by: More than 1 vertex vs 1 or 0 vertices

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4. Colour (Red box)
Left circle: red sphere, red cube → both RED
Right circle: green marble, green cylinder → both GREEN
✔ Clearly sorted by color: Red shapes vs Green shapes

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5. Roll (Pink box)
Left circle: pink cone, green marble, red sphere → all can roll (cone rolls in circles, spheres roll freely)
Right circle: purple rectangular prism, purple cube → these cannot roll — they slide or tumble, but don’t roll smoothly
✔ Sorted by: Can roll vs Cannot roll

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Now, let’s summarize how each pair was sorted:

- Faces: Shapes with flat faces | Shapes with no flat faces
- Edges: Shapes with straight edges | Shapes without straight edges
- Vertices: Shapes with more than 1 vertex | Shapes with 1 or 0 vertices
- Colour: Red shapes | Green shapes
- Roll: Can roll | Cannot roll

Since the question says “How have the shapes been sorted? Use the words to help you.” — and each box already has the category name (Faces, Edges, etc.), we just need to describe the grouping inside each.

But note: The worksheet has blank boxes under each circle — probably for students to write the property. Since we’re solving it, we’ll state the sorting criteria clearly.

Final Answer:

The shapes are sorted as follows:

- Faces: Left = shapes with flat faces; Right = shapes with no flat faces
- Edges: Left = shapes with straight edges; Right = shapes without straight edges
- Vertices: Left = shapes with more than one vertex; Right = shapes with one or zero vertices
- Colour: Left = red shapes; Right = green shapes
- Roll: Left = shapes that can roll; Right = shapes that cannot roll