Geometry Worksheets | Polygons Worksheets - Free Printable

To solve the problem of identifying the type of each quadrilateral, we need to analyze the properties of each shape based on the markings provided in the image. Here's a step-by-step explanation for each quadrilateral:

Key Properties to Identify Quadrilaterals:

1. Parallelogram: Opposite sides are parallel and equal.
2. Rectangle: Opposite sides are parallel and equal, and all angles are right angles.
3. Square: All sides are equal, opposite sides are parallel, and all angles are right angles.
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.

Analysis of Each Quadrilateral:

#### 1)
- Markings: Opposite sides are marked as equal and parallel.
- Type: Parallelogram

#### 2)
- Markings: Opposite sides are marked as equal and parallel, and all angles are right angles.
- Type: Rectangle

#### 3)
- Markings: One pair of opposite sides is parallel.
- Type: Trapezoid

#### 4)
- Markings: Opposite sides are marked as equal and parallel.
- Type: Parallelogram

#### 5)
- Markings: One pair of opposite sides is parallel.
- Type: Trapezoid

#### 6)
- Markings: Two pairs of adjacent sides are equal, and one angle is a right angle.
- Type: Kite

#### 7)
- Markings: All sides are equal, opposite sides are parallel, and all angles are right angles.
- Type: Square

#### 8)
- Markings: Opposite sides are marked as equal and parallel.
- Type: Parallelogram

#### 9)
- Markings: One pair of opposite sides is parallel, and the non-parallel sides are equal.
- Type: Isosceles Trapezoid

#### 10)
- Markings: All sides are equal, opposite sides are parallel, and all angles are right angles.
- Type: Square

#### 11)
- Markings: Opposite sides are marked as equal and parallel.
- Type: Parallelogram

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

Final Answer:

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