Quadrilateral - Studyladder Interactive Learning Games - Free Printable

Problem Overview:

The task involves identifying and naming quadrilaterals based on their shapes and matching them to their definitions. The quadrilaterals provided are:

1. Square
2. Rectangle
3. Rhombus
4. Parallelogram
5. Trapezium
6. Kite

We need to:
- Name each quadrilateral in the left column.
- Match each shape to its corresponding definition in the right column.

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Step-by-Step Solution:

#### 1. Identify Each Quadrilateral:
Let's analyze each shape in the left column and determine its name based on its properties.

- Shape 1: This shape has four equal sides and four right angles.
Name: Square

- Shape 2: This shape has one pair of parallel sides and the other pair not parallel.
Name: Trapezium

- Shape 3: This shape has two pairs of parallel sides, but the sides are not equal in length.
Name: Parallelogram

- Shape 4: This shape has two pairs of equal and parallel sides and four right angles.
Name: Rectangle

- Shape 5: This shape has two pairs of parallel sides, and all sides are equal in length, but it does not have right angles.
Name: Rhombus

- Shape 6: This shape has two short sides equal in length and two long sides equal in length, with no right angles.
Name: Kite

#### 2. Match Each Shape to Its Definition:
Now, let's match each named quadrilateral to its corresponding definition in the right column.

- Definition 1: "Two pairs of equal and parallel sides and four right angles."
Matches: Rectangle (Shape 4)

- Definition 2: "Four equal parallel sides with no right angles."
Matches: Rhombus (Shape 5)

- Definition 3: "Four equal sides and four right angles."
Matches: Square (Shape 1)

- Definition 4: "One pair of parallel sides and the other pair not parallel."
Matches: Trapezium (Shape 2)

- Definition 5: "Two short sides equal in length and two long sides equal in length. Can't have more than one right angle."
Matches: Kite (Shape 6)

- Definition 6: "Both pairs of opposite sides are parallel and equal. Opposite angles are equal."
Matches: Parallelogram (Shape 3)

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Final Answer:

#### Left Column (Names):
1. Square
2. Trapezium
3. Parallelogram
4. Rectangle
5. Rhombus
6. Kite

#### Right Column (Matches):
1. Rectangle → "Two pairs of equal and parallel sides and four right angles."
2. Rhombus → "Four equal parallel sides with no right angles."
3. Square → "Four equal sides and four right angles."
4. Trapezium → "One pair of parallel sides and the other pair not parallel."
5. Kite → "Two short sides equal in length and two long sides equal in length. Can't have more than one right angle."
6. Parallelogram → "Both pairs of opposite sides are parallel and equal. Opposite angles are equal."

Final Answer Boxed:
\[
\boxed{
\text{Square, Trapezium, Parallelogram, Rectangle, Rhombus, Kite}
}
\]