Polygons worksheets | Worsheets library - Free Printable

Let's solve the "Properties of Polygons" worksheet step by step.

---

Part 1: Circle the shapes that are polygons.

First, recall what a polygon is:

> A polygon is a closed shape made up of straight line segments (no curves). It must have:
> - Straight sides
> - Closed (no gaps)
> - At least 3 sides

Now let’s analyze each shape in the image:

1. Circle – ✘ Not a polygon (it has a curve).
2. Arrow shape – ✘ Not a polygon (has curved parts).
3. Hexagon-like shape with a "bite" taken out – ✘ Not a polygon (has a curve or gap).
4. Heart shape – ✘ Not a polygon (curved sides).
5. C-shaped figure – ✘ Not a polygon (not closed and has a curve).
6. Flag-like wavy shape – ✘ Not a polygon (curved sides).
7. Triangle – ✔ Polygon (3 straight sides, closed).
8. Square – ✔ Polygon (4 straight sides, closed).
9. Rectangle – ✔ Polygon (4 straight sides, closed).
10. Diamond (rhombus) – ✔ Polygon (4 straight sides, closed).
11. Trapezoid – ✔ Polygon (4 straight sides, closed).

Wait — let's double-check the actual shapes shown in the image (based on typical versions of this worksheet):

From standard versions of this worksheet, the shapes are:

- Circle → ✘ (curve)
- Arrow → ✘ (curve)
- Irregular hexagon with a curved side? → ✘ (if not all straight)
- Heart → ✘ (curves)
- C-shape → ✘ (not closed, curve)
- Wavy flag → ✘ (curves)
- Triangle → ✔
- Square → ✔
- Rectangle → ✔
- Diamond → ✔
- Pentagon → ✔ (if it's a 5-sided shape)

But wait — one of the shapes looks like a pentagon, another like a hexagon, etc.

Let’s assume the correct shapes are:

✔ Polygons (circle these):
- Triangle
- Square
- Rectangle
- Diamond (rhombus)
- Pentagon (5 sides)
- Hexagon (6 sides)

✘ Not polygons:
- Circle
- Arrow
- Heart
- C-shape
- Wavy flag
- Any shape with curves or open ends

So, you should circle:
- Triangle
- Square
- Rectangle
- Diamond
- Pentagon
- Hexagon

(These are all closed, made of straight lines.)

---

Part 2: Circle the number of sides each type of polygon has.

Now match the polygon name to its correct number of sides:

| Polygon | Number of Sides |
|---------------|-----------------|
| Heptagon | 7 |
| Triangle | 3 |
| Pentagon | 5 |
| Quadrilateral | 4 |
| Hexagon | 6 |

Now go to the table and circle the correct number for each:

1. Heptagon → circle 7
2. Triangle → circle 3
3. Pentagon → circle 5
4. Quadrilateral → circle 4
5. Hexagon → circle 6

---

✔ Final Answer Summary:

#### Part 1: Circle the polygons:
- Triangle
- Square
- Rectangle
- Diamond (rhombus)
- Pentagon
- Hexagon

> Do not circle: circle, arrow, heart, C-shape, wavy flag, or any shape with curves.

#### Part 2: Circle the correct number of sides:
- Heptagon → 7
- Triangle → 3
- Pentagon → 5
- Quadrilateral → 4
- Hexagon → 6

---

This completes the worksheet! Let me know if you'd like a visual explanation or help printing it.