English worksheets: Classify Polygons - Free Printable

Problem Description:

The task involves identifying and classifying various shapes based on their properties, specifically the number of sides and number of angles. The goal is to match each shape with its correct classification.

Solution Approach:

1. Understand the Properties of Shapes:
- Each polygon has a specific number of sides and angles.
- The number of sides and angles in a polygon is always equal.

2. Identify Each Shape:
- Carefully observe each shape in the image and count the number of sides and angles.
- Match the shape with its corresponding classification (e.g., triangle, quadrilateral, pentagon, etc.).

3. Classify the Shapes:
- Use the provided table to fill in the correct number of sides and angles for each shape.

Step-by-Step Analysis:

#### Shape 1:
- Description: A five-sided polygon.
- Classification: Pentagon.
- Number of Sides: 5
- Number of Angles: 5

#### Shape 2:
- Description: A four-sided polygon with one pair of parallel sides.
- Classification: Trapezoid.
- Number of Sides: 4
- Number of Angles: 4

#### Shape 3:
- Description: A three-sided polygon.
- Classification: Triangle.
- Number of Sides: 3
- Number of Angles: 3

#### Shape 4:
- Description: A six-sided polygon.
- Classification: Hexagon.
- Number of Sides: 6
- Number of Angles: 6

#### Shape 5:
- Description: A four-sided polygon with all sides equal and all angles equal.
- Classification: Square.
- Number of Sides: 4
- Number of Angles: 4

#### Shape 6:
- Description: A five-sided polygon.
- Classification: Pentagon.
- Number of Sides: 5
- Number of Angles: 5

#### Shape 7:
- Description: A four-sided polygon with opposite sides parallel.
- Classification: Parallelogram.
- Number of Sides: 4
- Number of Angles: 4

#### Shape 8:
- Description: A three-sided polygon.
- Classification: Triangle.
- Number of Sides: 3
- Number of Angles: 3

#### Shape 9:
- Description: A six-sided polygon.
- Classification: Hexagon.
- Number of Sides: 6
- Number of Angles: 6

#### Shape 10:
- Description: A four-sided polygon with one pair of parallel sides.
- Classification: Trapezoid.
- Number of Sides: 4
- Number of Angles: 4

Final Answer:

Here is the completed table:

| Shape Name | Number of Sides | Number of Angles |
|------------------|-----------------|------------------|
| Pentagon | 5 | 5 |
| Trapezoid | 4 | 4 |
| Triangle | 3 | 3 |
| Hexagon | 6 | 6 |
| Square | 4 | 4 |
| Pentagon | 5 | 5 |
| Parallelogram | 4 | 4 |
| Triangle | 3 | 3 |
| Hexagon | 6 | 6 |
| Trapezoid | 4 | 4 |

$$
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Shape Name} & \text{Number of Sides} & \text{Number of Angles} \\
\hline
\text{Pentagon} & 5 & 5 \\
\text{Trapezoid} & 4 & 4 \\
\text{Triangle} & 3 & 3 \\
\text{Hexagon} & 6 & 6 \\
\text{Square} & 4 & 4 \\
\text{Pentagon} & 5 & 5 \\
\text{Parallelogram} & 4 & 4 \\
\text{Triangle} & 3 & 3 \\
\text{Hexagon} & 6 & 6 \\
\text{Trapezoid} & 4 & 4 \\
\hline
\end{array}
}
$$