Year 5 | Regular and Irregular Polygons Worksheets | KS2 Geometry ... - Free Printable

Here is the solution to help you complete your worksheet.

Part 1: Colouring the Shapes

You need to look at each shape and decide if it is Regular (all sides equal, all angles equal) or Irregular (sides or angles are different).

Top Row:
1. Triangle: This looks like an equilateral triangle (all sides same length). -> Regular
2. L-Shape: The sides are different lengths. -> Irregular
3. Quadrilateral: The sides are different lengths and angles are not the same. -> Irregular
4. Hexagon (6 sides): All sides look equal. -> Regular
5. Arrow/Chevron Shape: Some sides are long, some are short. -> Irregular

Bottom Row:
6. Pentagon (5 sides): All sides look equal. -> Regular
7. Triangle: One side is much longer than the others. -> Irregular
8. Pentagon: It is squashed; sides are different lengths. -> Irregular
9. Octagon (8 sides): All sides look equal. -> Regular
10. Diamond/Rhombus: All 4 sides are equal length. -> Regular

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Part 2: Drawing in the Table

Here is a guide on what to draw in each box. Remember: "Regular" means perfect and symmetrical. "Irregular" means messy or stretched.

| Polygon | Regular (Draw this) | Irregular (Draw this) |
| :--- | :--- | :--- |
| Triangle | Draw an Equilateral Triangle. Make sure all 3 sides are exactly the same length. | Draw a Scalene Triangle. Make one side very long and flat, and the other two short. |
| Quadrilateral | Draw a Square. All 4 sides must be equal, and corners must be square ($90^\circ$). | Draw a random Trapezoid or a kite shape where the sides are clearly different lengths. |
| Pentagon | Draw a standard Pentagon (like a house shape but with equal sides). Use a ruler to make sides equal. | Draw a pentagon that looks "squashed" or stretched out so the sides are different sizes. |
| Hexagon | Draw a standard Hexagon (like a honeycomb cell). Ensure opposite sides are parallel. | Draw a hexagon that is very wide and short, or tall and thin. |

Final Answer:
Part 1 (Colouring Key):
* Colour as Regular: The top-left triangle, the top-middle hexagon, the bottom-left pentagon, the bottom-middle octagon, and the bottom-right diamond.
* Colour as Irregular: The L-shape, the top-middle quadrilateral, the arrow shape, the bottom-left scalene triangle, and the bottom-middle irregular pentagon.

Part 2 (Drawing Guide):
* Triangle: Regular = Equilateral triangle; Irregular = Long, skinny triangle.
* Quadrilateral: Regular = Square; Irregular = Random 4-sided shape with uneven sides.
* Pentagon: Regular = Symmetrical 5-sided shape; Irregular = Stretched 5-sided shape.
* Hexagon: Regular = Symmetrical 6-sided shape; Irregular = Flattened 6-sided shape.