Maths Worksheets That Focus on Shapes - EducationCity - Free Printable

Let's solve the "Polly Gone Crackers" activity sheet step by step.

We are asked to:

1. Identify whether each shape is a *regular* or *irregular* polygon.
2. Name the type of polygon (e.g., triangle, quadrilateral, pentagon, etc.).

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🔷 Definitions:

- Regular polygon: All sides and angles are equal.
- Irregular polygon: Sides and/or angles are not all equal.
- Polygon names based on number of sides:
- 3 sides → Triangle
- 4 sides → Quadrilateral
- 5 sides → Pentagon
- 6 sides → Hexagon
- 7 sides → Heptagon
- 8 sides → Octagon
- 10 sides → Decagon
- Star shapes: Often called *star polygons*, like a 5-pointed star = pentagram

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Now let’s analyze each shape:

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🔹 Shape 1:

- It has 5 sides → Pentagon
- All sides appear equal and angles look equal → Regular
- ✔ Regular pentagon

> Answer:
> Regular polygon
> Name: Pentagon

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🔹 Shape 2:

- It has 4 sides → Quadrilateral
- But the sides and angles are not equal — it looks like a trapezoid
- So it’s irregular
- ✔ Irregular quadrilateral

> Answer:
> Irregular polygon
> Name: Quadrilateral

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🔹 Shape 3:

- It has 4 sides → Quadrilateral
- Opposite sides are parallel and equal, but angles are not 90° → Parallelogram
- Not all sides equal? Actually, in this drawing, adjacent sides look unequal → so irregular
- ✔ Irregular quadrilateral (specifically a parallelogram)

> Answer:
> Irregular polygon
> Name: Parallelogram (or just Quadrilateral)

> Note: If only general name is required, “quadrilateral” is acceptable.

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🔹 Shape 4:

- It’s a 5-pointed star
- This is a star polygon, specifically a pentagram (a regular star polygon with 5 points)
- Even though it’s a star, if all points and sides are symmetric, it's considered regular
- ✔ Regular star polygon (Pentagram)

> Answer:
> Regular polygon
> Name: Star (or Pentagram)

> Note: Some may call it an irregular polygon because it's not convex, but since it's symmetric, it's often classified as regular star polygon.

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🔹 Shape 5:

- It has 7 sides → Heptagon
- All sides and angles appear equal → Regular
- ✔ Regular heptagon

> Answer:
> Regular polygon
> Name: Heptagon

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🔹 Shape 6:

- It has 6 sides → Hexagon
- All sides and angles appear equal → Regular
- ✔ Regular hexagon

> Answer:
> Regular polygon
> Name: Hexagon

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✔ Final Answers:

| # | Type | Name |
|---|-------------|----------------|
| 1 | Regular | Pentagon |
| 2 | Irregular | Quadrilateral |
| 3 | Irregular | Parallelogram |
| 4 | Regular | Star (Pentagram) |
| 5 | Regular | Heptagon |
| 6 | Regular | Hexagon |

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📝 Instructions for Student:

Fill in the blanks like this:

1. Regular polygon
Name: Pentagon

2. Irregular polygon
Name: Quadrilateral

3. Irregular polygon
Name: Parallelogram

4. Regular polygon
Name: Star (or Pentagram)

5. Regular polygon
Name: Heptagon

6. Regular polygon
Name: Hexagon

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✔ Note: For shape 4, while it's technically a regular star polygon, some curricula might consider it "irregular" due to its non-convex nature. However, since it's symmetric and evenly spaced, "Regular" is appropriate here.

Let me know if you'd like a printable version or explanation for younger students!