Identifying Quadrilaterals worksheet for students to name each shape based on its properties.

To solve the problem of identifying each quadrilateral in the image, we need to analyze the properties of each shape and match them with their correct names. Here is the step-by-step solution:

Quadrilateral Identification Guide:

1. Rectangle: A quadrilateral with four right angles (90°) and opposite sides that are equal and parallel.
2. Trapezoid: A quadrilateral with at least one pair of parallel sides.
3. Parallelogram: A quadrilateral with two pairs of parallel sides.
4. Rhombus: A quadrilateral with all four sides of equal length.
5. Square: A quadrilateral with four equal sides and four right angles.
6. Kite: A quadrilateral with two pairs of adjacent sides that are equal.
7. Irregular Quadrilateral: A quadrilateral that does not fit into any of the above categories.

Analysis of Each Shape:

#### 1)
- Shape: Four sides with opposite sides parallel and equal, and all angles are right angles.
- Identification: Rectangle

#### 2)
- Shape: One pair of opposite sides is parallel.
- Identification: Trapezoid

#### 3)
- Shape: Opposite sides are parallel and equal, but angles are not right angles.
- Identification: Parallelogram

#### 4)
- Shape: All four sides are equal, but angles are not right angles.
- Identification: Rhombus

#### 5)
- Shape: All four sides are equal, and all angles are right angles.
- Identification: Square

#### 6)
- Shape: Opposite sides are parallel, and all sides are equal.
- Identification: Rhombus

#### 7)
- Shape: Opposite sides are parallel, but angles are not right angles.
- Identification: Parallelogram

#### 8)
- Shape: Opposite sides are parallel, and all angles are right angles.
- Identification: Rectangle

#### 9)
- Shape: No sides are parallel, and no sides are equal.
- Identification: Irregular Quadrilateral

#### 10)
- Shape: One pair of opposite sides is parallel.
- Identification: Trapezoid

#### 11)
- Shape: Two pairs of adjacent sides are equal.
- Identification: Kite

#### 12)
- Shape: All four sides are equal, and all angles are right angles.
- Identification: Square

Final Answer:

1. Rectangle
2. Trapezoid
3. Parallelogram
4. Rhombus
5. Square
6. Rhombus
7. Parallelogram
8. Rectangle
9. Irregular Quadrilateral
10. Trapezoid
11. Kite
12. Square

$$
\boxed{
\text{1. Rectangle, 2. Trapezoid, 3. Parallelogram, 4. Rhombus, 5. Square, 6. Rhombus, 7. Parallelogram, 8. Rectangle, 9. Irregular Quadrilateral, 10. Trapezoid, 11. Kite, 12. Square}
}
$$