Name the Quadrilateral/Draw the Quadrilateral Worksheets - Free Printable

To solve this problem, we need to match the given descriptions of quadrilaterals with their corresponding names and shapes. Let's analyze each description step by step:

Quadrilateral Descriptions and Matching

#### 1. First Description:
- Opposite sides equal
- Opposite sides parallel
- 4 right angles

Analysis:
- A quadrilateral with opposite sides equal and parallel is a parallelogram.
- Additionally, having 4 right angles means it must be a rectangle.

Matching Shape:
- The shape labeled A matches this description (it looks like a rectangle).

Name: Rectangle

#### 2. Second Description:
- All sides equal
- Opposite sides parallel
- Diagonals cross at right angles
- No right angles

Analysis:
- A quadrilateral with all sides equal and opposite sides parallel is a rhombus.
- The diagonals of a rhombus intersect at right angles, and it does not have any right angles.

Matching Shape:
- The shape labeled D matches this description (it looks like a rhombus).

Name: Rhombus

#### 3. Third Description:
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals cross at right angles

Analysis:
- A quadrilateral with all sides equal, opposite sides parallel, and 4 right angles is a square.
- The diagonals of a square also intersect at right angles.

Matching Shape:
- The shape labeled C matches this description (it looks like a square).

Name: Square

#### 4. Fourth Description:
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles

Analysis:
- A quadrilateral with 2 pairs of equal adjacent sides and diagonals that intersect at right angles is a kite.

Matching Shape:
- The shape labeled H matches this description (it looks like a kite).

Name: Kite

#### 5. Fifth Description:
- 1 pair of parallel lines

Analysis:
- A quadrilateral with only one pair of parallel lines is a trapezium.

Matching Shape:
- The shape labeled F matches this description (it looks like a trapezium).

Name: Trapezium

#### 6. Sixth Description:
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles

Analysis:
- A quadrilateral with opposite sides equal and 2 pairs of parallel sides is a parallelogram.
- Since it specifies "no right angles," it cannot be a rectangle or square, so it must be a general parallelogram.

Matching Shape:
- The shape labeled G matches this description (it looks like a parallelogram).

Name: Parallelogram

Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Name: Rectangle} & \text{Shape: A} \\
\text{Name: Rhombus} & \text{Shape: D} \\
\text{Name: Square} & \text{Shape: C} \\
\text{Name: Kite} & \text{Shape: H} \\
\text{Name: Trapezium} & \text{Shape: F} \\
\text{Name: Parallelogram} & \text{Shape: G} \\
\end{array}
}
\]