Educational 2D shapes worksheet for learning geometry.

Problem Description:

The image contains a worksheet titled "2D Shapes." The task involves identifying and analyzing 2D shapes. Here's a breakdown of the tasks:

1. Task 1: Identify the shapes in the box provided.
2. Task 2: Determine the number of sides and vertices for each shape shown.

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Solution:

#### Task 1: Identifying Shapes in the Box
The box contains various 2D shapes. Let's identify them one by one:

- Triangle: A shape with 3 sides.
- Rectangle: A shape with 4 sides, where opposite sides are equal and all angles are 90°.
- Circle: A round shape with no sides or vertices.
- Pentagon: A shape with 5 sides.
- Square: A shape with 4 equal sides and all angles are 90°.
- Trapezoid: A shape with 4 sides, where at least one pair of opposite sides is parallel.
- Hexagon: A shape with 6 sides.

So, the shapes in the box are:
- Triangle
- Rectangle
- Circle
- Pentagon
- Square
- Trapezoid
- Hexagon

#### Task 2: Counting Sides and Vertices
Now, we need to count the number of sides and vertices for each shape shown in the second part of the worksheet.

1. Square:
- Sides: 4
- Vertices: 4

2. Triangle:
- Sides: 3
- Vertices: 3

3. Pentagon:
- Sides: 5
- Vertices: 5

4. Hexagon:
- Sides: 6
- Vertices: 6

5. Trapezoid:
- Sides: 4
- Vertices: 4

6. Octagon:
- Sides: 8
- Vertices: 8

7. Ellipse (Oval):
- Sides: 0 (It is a curved shape)
- Vertices: 0

8. Parallelogram:
- Sides: 4
- Vertices: 4

9. Star:
- Sides: 10 (A regular star has 10 straight edges)
- Vertices: 10

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Final Answer:

#### Task 1: Shapes in the Box
- Triangle
- Rectangle
- Circle
- Pentagon
- Square
- Trapezoid
- Hexagon

#### Task 2: Sides and Vertices
1. Square:
- Sides: 4
- Vertices: 4

2. Triangle:
- Sides: 3
- Vertices: 3

3. Pentagon:
- Sides: 5
- Vertices: 5

4. Hexagon:
- Sides: 6
- Vertices: 6

5. Trapezoid:
- Sides: 4
- Vertices: 4

6. Octagon:
- Sides: 8
- Vertices: 8

7. Ellipse (Oval):
- Sides: 0
- Vertices: 0

8. Parallelogram:
- Sides: 4
- Vertices: 4

9. Star:
- Sides: 10
- Vertices: 10

$$
\boxed{
\text{See explanations above for detailed answers.}
}
$$