Free printable 3rd Grade 2D shapes worksheets for math practice - Free Printable

Let’s go through each shape one by one and count the vertices (corners) and sides (straight lines connecting corners).

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Shape 1: Red arrow-like shape (top left)
- It looks like a triangle with an extra point pushed inward on the bottom.
- Count corners: Top tip, left end, right end, and the inner corner where it dips — that’s 4 vertices.
- Count sides: From top to left, left to inner dip, inner dip to right, right back to top — that’s 4 sides.
✔ Vertices: 4, Sides: 4

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Shape 2: Green cross (top row, second from left)
- This is a plus sign made of squares.
- Each “arm” has 3 outer corners, but we only count unique points where lines meet.
- Let’s trace: Start at top arm’s top-left → top-right → down to center-top → then right arm’s top-right → bottom-right → down to center-bottom → left arm’s bottom-left → up to center-left → back to start? Wait — better way:
Actually, this shape has 12 corners! Think of it as a square with 4 smaller squares attached to each side — each attachment adds 2 new corners per side, but shared ones are counted once.
Wait — let’s just count visually:
Top arm: 3 corners (left, right, top)
Right arm: 3 corners (top, bottom, right) — but top and bottom already counted? No — actually, each arm extends out, so total distinct corners = 12.
Sides: Each straight segment between corners — there are 12 sides too.
✔ Vertices: 12, Sides: 12

*(Double-check: A standard Greek cross or plus sign drawn with equal arms has 12 vertices and 12 sides — yes.)*

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Shape 3: Pink triangle (top row, third)
- Simple triangle.
- 3 corners → 3 vertices
- 3 sides
✔ Vertices: 3, Sides: 3

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Shape 4: Blue octagon (top row, far right)
- Regular octagon — 8 sides, 8 corners.
✔ Vertices: 8, Sides: 8

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Shape 5: Blue rectangle (bottom row, first)
- Rectangle has 4 corners and 4 sides.
✔ Vertices: 4, Sides: 4

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Shape 6: Brown hourglass / bowtie shape (bottom row, second)
- Looks like two triangles touching at a point.
- Count corners: Top-left, top-right, middle pinch point, bottom-left, bottom-right — wait, actually:
It has 4 outer corners + 1 center point where they meet? But in polygon terms, if it's drawn as two triangles sharing a vertex, that shared point is still one vertex.
But looking at the drawing — it’s likely drawn as a single continuous line forming 6 points:
Top-left, top-right, bottom-right, bottom-left, and the two “waist” points? Actually, no — standard hourglass shape like this usually has 6 vertices:
Start top-left → top-right → down to waist-right → down to bottom-right → bottom-left → up to waist-left → back to top-left. That’s 6 points.
Yes — 6 vertices, 6 sides.
✔ Vertices: 6, Sides: 6

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Shape 7: Orange house-shaped pentagon (bottom row, third)
- Like a square with a triangle on top.
- Bottom: 2 corners (left and right base)
- Middle: 2 corners where roof starts (shoulders)
- Top: 1 peak
Total: 5 vertices
Sides: Base (1), left wall (1), left roof (1), right roof (1), right wall (1) → 5 sides
✔ Vertices: 5, Sides: 5

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Shape 8: Purple M-shape or chevron (bottom row, far right)
- Looks like a square with a V cut out of the top.
- Corners: Bottom-left, bottom-right, top-right, then the V goes down to a point, then up to top-left — that’s 5 points.
Trace: Start bottom-left → bottom-right → top-right → down to V-point → up to top-left → back to bottom-left.
That’s 5 vertices.
Sides: Same — 5 straight segments.
✔ Vertices: 5, Sides: 5

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Final verification:

| Shape | Vertices | Sides |
|-------|----------|-------|
| 1 | 4 | 4 |
| 2 | 12 | 12 |
| 3 | 3 | 3 |
| 4 | 8 | 8 |
| 5 | 4 | 4 |
| 6 | 6 | 6 |
| 7 | 5 | 5 |
| 8 | 5 | 5 |

All match — for simple polygons, number of vertices equals number of sides.

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Final Answer:
Shape 1: 4 vertices, 4 sides
Shape 2: 12 vertices, 12 sides
Shape 3: 3 vertices, 3 sides
Shape 4: 8 vertices, 8 sides
Shape 5: 4 vertices, 4 sides
Shape 6: 6 vertices, 6 sides
Shape 7: 5 vertices, 5 sides
Shape 8: 5 vertices, 5 sides