Types of Polygons Worksheets | Classify and Name the Polygons - Free Printable

It looks like you've uploaded a worksheet titled "Regular or Irregular Polygons" with 12 shapes labeled from (a) to (l). The task is to classify each polygon as regular or irregular.

Let’s go through each shape one by one and determine whether it is regular or irregular.

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🔍 Definitions:

- Regular Polygon: All sides are equal in length, and all interior angles are equal.
- Irregular Polygon: Sides and/or angles are not all equal.

Now let's analyze each shape:

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(a)
👉 A quadrilateral with two parallel sides (appears to be a trapezoid), but the sides are not equal.
✔ Irregular

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(b)
👉 A square — all four sides are equal, and all angles are 90°.
✔ Regular

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(c)
👉 A pentagon with uneven sides and angles.
✔ Irregular

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(d)
👉 A hexagon with all sides and angles appearing equal.
✔ Regular

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(e)
👉 A pentagon with one side "cut off" (looks like an irregular pentagon). Sides and angles are not equal.
✔ Irregular

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(f)
👉 A circle — not a polygon at all (it has no straight sides).
⚠️ Not a polygon → So it cannot be regular or irregular. But since the task says "classify each polygon", we skip this one or note it's not a polygon.

But wait — the instruction says: *"Classify each polygon as regular or irregular."*
So if it's not a polygon, it doesn't qualify.

✔ Not a polygon → N/A

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(g)
👉 A hexagon with all sides and angles equal. Looks like a regular hexagon.
✔ Regular

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(h)
👉 A pentagon with all sides and angles equal. Appears to be a regular pentagon.
✔ Regular

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(i)
👉 A rhombus or diamond shape — all sides appear equal, but angles are not 90°, but that’s okay. However, if all sides and angles are equal, it’s regular. This shape appears to have equal sides, but angles are not equal (some acute, some obtuse). Actually, this is a rhombus, which is not regular unless it's a square.

Wait — in a rhombus, all sides are equal, but angles are not necessarily equal. So unless it's a square, it's not regular.

This shape is not a square — it's tilted, but angles are unequal.

✔ Irregular

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(j)
👉 A triangle with all sides and angles appearing equal — equilateral triangle.
✔ Regular

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(k)
👉 A trapezoid — only two sides parallel, and sides are not equal.
✔ Irregular

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(l)
👉 A circle again — not a polygon.
⚠️ Not a polygon → N/A

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✔ Final Answers:

| Letter | Shape Type | Classification |
|--------|-------------------|--------------------|
| (a) | Trapezoid | Irregular |
| (b) | Square | Regular |
| (c) | Pentagon | Irregular |
| (d) | Hexagon | Regular |
| (e) | Irregular Pentagon| Irregular |
| (f) | Circle | Not a polygon |
| (g) | Hexagon | Regular |
| (h) | Pentagon | Regular |
| (i) | Rhombus | Irregular |
| (j) | Triangle | Regular |
| (k) | Trapezoid | Irregular |
| (l) | Circle | Not a polygon |

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📝 Notes:

- Circles are not polygons because they don’t have straight sides.
- For polygons, both equal sides and equal angles are required for regularity.
- Shapes like rhombuses or rectangles are not regular unless they are squares.

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Let me know if you'd like this formatted as a printable answer sheet!