Polygons Worksheets - Free Printable

Problem Description:

The task involves identifying and counting the number of vertices (corners) in each of the given shapes. The goal is to analyze each shape and determine how many vertices it has.

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Solution Approach:

1. Understand the Definition of a Vertex: A vertex is a point where two edges (sides) of a polygon meet.
2. Analyze Each Shape Individually: Carefully examine each shape and count the number of corners where edges intersect.
3. Record the Number of Vertices for Each Shape: Write down the count for each shape.

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Step-by-Step Analysis of Each Shape:

#### Shape 1:
- This is a triangle.
- A triangle has 3 vertices.
- Count: 3

#### Shape 2:
- This is a quadrilateral (specifically, a parallelogram).
- A quadrilateral has 4 vertices.
- Count: 4

#### Shape 3:
- This is an irregular pentagon.
- It has 5 vertices.
- Count: 5

#### Shape 4:
- This is a regular pentagon.
- A pentagon has 5 vertices.
- Count: 5

#### Shape 5:
- This is an irregular hexagon.
- It has 6 vertices.
- Count: 6

#### Shape 6:
- This is an irregular quadrilateral.
- It has 4 vertices.
- Count: 4

#### Shape 7:
- This is an irregular quadrilateral.
- It has 4 vertices.
- Count: 4

#### Shape 8:
- This is an irregular quadrilateral.
- It has 4 vertices.
- Count: 4

#### Shape 9:
- This is an irregular quadrilateral.
- It has 4 vertices.
- Count: 4

#### Shape 10:
- This is a triangle.
- A triangle has 3 vertices.
- Count: 3

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Final Answer:

The number of vertices for each shape is as follows:
1. 3
2. 4
3. 5
4. 5
5. 6
6. 4
7. 4
8. 4
9. 4
10. 3

$$
\boxed{3, 4, 5, 5, 6, 4, 4, 4, 4, 3}
$$