Classifying quadrilaterals activity - Free Printable

To classify the quadrilaterals in the given image, we need to identify their types based on their properties. Here is a step-by-step explanation for each shape:

Key Properties of Quadrilaterals:

1. Parallelogram: Opposite sides are parallel and equal.
2. Rectangle: Opposite sides are parallel and equal, and all angles are 90°.
3. Square: All sides are equal, opposite sides are parallel, and all angles are 90°.
4. Rhombus: All sides are equal, opposite sides are parallel.
5. Trapezoid: One pair of opposite sides is parallel.
6. Isosceles Trapezoid: One pair of opposite sides is parallel, and the non-parallel sides (legs) are equal.
7. Kite: Two pairs of adjacent sides are equal.

Classification of Each Shape:

#### 1)
- Properties: Opposite sides are parallel and equal.
- Type: Parallelogram

#### 2)
- Properties: Opposite sides are parallel and equal, and all sides are equal.
- Type: Rhombus

#### 3)
- Properties: Opposite sides are parallel and equal, all sides are equal, and all angles are 90°.
- Type: Square

#### 4)
- Properties: Opposite sides are parallel but not equal.
- Type: Trapezoid

#### 5)
- Properties: One pair of opposite sides is parallel, and the non-parallel sides are equal.
- Type: Isosceles Trapezoid

#### 6)
- Properties: Opposite sides are parallel and equal, and all angles are 90°.
- Type: Rectangle

#### 7)
- Properties: Opposite sides are parallel and equal.
- Type: Parallelogram

#### 8)
- Properties: Opposite sides are parallel and equal, all sides are equal, and all angles are 90°.
- Type: Square

#### 9)
- Properties: One pair of opposite sides is parallel.
- Type: Trapezoid

#### 10)
- Properties: Opposite sides are parallel and equal, and all angles are 90°.
- Type: Rectangle

#### 11)
- Properties: Opposite sides are parallel and equal.
- Type: Parallelogram

#### 12)
- Properties: One pair of opposite sides is parallel.
- Type: Trapezoid

Final Answer:

\[
\boxed{
\begin{array}{ccc}
1) & \text{Parallelogram} & 2) & \text{Rhombus} & 3) & \text{Square} \\
4) & \text{Trapezoid} & 5) & \text{Isosceles Trapezoid} & 6) & \text{Rectangle} \\
7) & \text{Parallelogram} & 8) & \text{Square} & 9) & \text{Trapezoid} \\
10) & \text{Rectangle} & 11) & \text{Parallelogram} & 12) & \text{Trapezoid} \\
\end{array}
}
\]