Students fill in the number of sides and vertices for common 2D shapes like triangles and rectangles.

Problem:

The task is to fill in the table by identifying the number of sides and vertices for each given shape. The shapes provided are:

1. Triangle
2. Square
3. Rectangle
4. Trapezoid
5. Parallelogram
6. Pentagon
7. Hexagon

Solution Explanation:

To solve this problem, we need to understand the definitions of "sides" and "vertices" for each shape:
- Sides: The straight lines that form the boundary of a shape.
- Vertices: The points where two sides meet (corners).

Let's analyze each shape one by one:

---

#### 1. Triangle
- Shape: A triangle has three straight sides.
- Vertices: A triangle has three corners where the sides meet.
- Number of Sides: 3
- Number of Vertices: 3

---

#### 2. Square
- Shape: A square has four equal straight sides.
- Vertices: A square has four corners where the sides meet.
- Number of Sides: 4
- Number of Vertices: 4

---

#### 3. Rectangle
- Shape: A rectangle has four straight sides, with opposite sides being equal.
- Vertices: A rectangle has four corners where the sides meet.
- Number of Sides: 4
- Number of Vertices: 4

---

#### 4. Trapezoid
- Shape: A trapezoid has four sides, with at least one pair of parallel sides.
- Vertices: A trapezoid has four corners where the sides meet.
- Number of Sides: 4
- Number of Vertices: 4

---

#### 5. Parallelogram
- Shape: A parallelogram has four sides, with opposite sides being parallel and equal.
- Vertices: A parallelogram has four corners where the sides meet.
- Number of Sides: 4
- Number of Vertices: 4

---

#### 6. Pentagon
- Shape: A pentagon has five straight sides.
- Vertices: A pentagon has five corners where the sides meet.
- Number of Sides: 5
- Number of Vertices: 5

---

#### 7. Hexagon
- Shape: A hexagon has six straight sides.
- Vertices: A hexagon has six corners where the sides meet.
- Number of Sides: 6
- Number of Vertices: 6

---

Filled Table:

| Shape | Name | Number of Sides | Number of Vertices |
|-------------|-------------|-----------------|--------------------|
| △ | Triangle | 3 | 3 |
| □ | Square | 4 | 4 |
| ■ | Rectangle | 4 | 4 |
| ▱ | Trapezoid | 4 | 4 |
| ▱ | Parallelogram | 4 | 4 |
| ⬠ | Pentagon | 5 | 5 |
| ⬡ | Hexagon | 6 | 6 |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Shape} & \text{Name} & \text{Number of Sides} & \text{Number of Vertices} \\
\hline
\triangle & \text{Triangle} & 3 & 3 \\
\hline
\square & \text{Square} & 4 & 4 \\
\hline
\text{■} & \text{Rectangle} & 4 & 4 \\
\hline
\text{▱} & \text{Trapezoid} & 4 & 4 \\
\hline
\text{▱} & \text{Parallelogram} & 4 & 4 \\
\hline
\text{⬟} & \text{Pentagon} & 5 & 5 \\
\hline
\text{⬡} & \text{Hexagon} & 6 & 6 \\
\hline
\end{array}
}
\]