Math worksheet for identifying polygons and matching them with the correct number of sides.

Let’s go step by step to solve this worksheet.

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First, we need to circle the shapes that are polygons.

What is a polygon?
A polygon is a closed shape made only of straight lines. No curves allowed! And it must be fully closed — no gaps.

Let’s look at each shape one by one:

Top row:
1. Triangle → 3 straight sides, closed → ✔ Polygon
2. Rectangle → 4 straight sides, closed → ✔ Polygon
3. Pentagon (5-sided) → straight sides, closed → ✔ Polygon
4. Circle → curved line → ✘ Not a polygon

Second row:
5. Arrow-like shape (pentagon with point) → all straight lines, closed → ✔ Polygon
6. Square → 4 straight sides, closed → ✔ Polygon
7. Trapezoid → 4 straight sides, closed → ✔ Polygon
8. Diamond (rhombus) → 4 straight sides, closed → ✔ Polygon

Third row:
9. Hexagon → 6 straight sides, closed → ✔ Polygon
10. Parallelogram → 4 straight sides, closed → ✔ Polygon
11. Arrow pointing right → has straight lines but also an open end? Wait — actually, looking closely, it’s a closed shape made of straight lines (like a rectangle with a triangle on the end). So yes, it’s a polygon → ✔ Polygon
12. Tilted square (diamond) → 4 straight sides, closed → ✔ Polygon

Wait — let me double-check shape #11 (the arrow). Is it really closed? Yes — if you trace around it, you come back to start without lifting your pencil, and all edges are straight. So it counts as a polygon.

So which ones are NOT polygons? Only the circle (#4).

✔ So circle these shapes: all except the circle.

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Now, second part: Circle the correct number of sides for each polygon type.

We’ll go row by row:

- Triangle → “tri” means 3 → so circle 3
- Rectangle → 4 sides → circle 4
- Square → also 4 sides → circle 4
- Pentagon → “penta” means 5 → circle 5
- Hexagon → “hexa” means 6 → circle 6
- Heptagon → “hepta” means 7 → circle 7

Double-checking:
- Triangle = 3 ✔️
- Rectangle = 4 ✔️
- Square = 4 ✔️
- Pentagon = 5 ✔️
- Hexagon = 6 ✔️
- Heptagon = 7 ✔️

All good.

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Final Answer:

For the first part (“Circle the shape that are polygons”), circle every shape EXCEPT the circle.

For the second table:

- Triangle → circle 3
- Rectangle → circle 4
- Square → circle 4
- Pentagon → circle 5
- Hexagon → circle 6
- Heptagon → circle 7