Properties of Quadrilaterals (A) Worksheet | Fun and Engaging PDF ... - Free Printable

Let's solve this step-by-step by matching each shape (F, D, C, A, G, H) on the left with the correct quadrilateral name based on the properties listed on the right.

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🔹 Step 1: Understand the Properties of Each Quadrilateral

We are given six shapes labeled F, D, C, A, G, H. On the right side, there are six descriptions, each corresponding to a specific quadrilateral.

Let’s go through each description and match it to the correct shape.

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✔ Match Each Property Description to the Correct Shape

#### 1. First Box (Top Right):
> Opposite sides equal
> Opposite sides parallel
> 4 right angles

- This describes a Rectangle.
- Look at the shapes:
- A is a rectangle (longer than wide, all angles are right angles).
- So, this matches Shape A → Rectangle

✔ Name: Rectangle

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

- All sides equal + opposite sides parallel → Rhombus or Square
- But no right angles → Not a square
- So this is a Rhombus
- Look at shapes:
- D is a rhombus (diamond-shaped, all sides equal, no right angles)
- So, this matches Shape D → Rhombus

✔ Name: Rhombus

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

- All sides equal + 4 right angles → This is a Square
- Also diagonals cross at right angles — true for squares
- Shape C is a perfect square
- So, this matches Shape C → Square

✔ Name: Square

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

- "2 pairs of equal adjacent sides" → means two sides next to each other are equal, and the other two are also equal (but not necessarily opposite)
- This is a Kite
- Kites have two pairs of adjacent equal sides, and diagonals intersect at right angles
- Look at H: It looks like a kite (diamond-like but not symmetric in the same way as a rhombus), with two pairs of adjacent equal sides
- So, this matches Shape H → Kite

✔ Name: Kite

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#### 5. Fifth Box:
> 1 pair of parallel lines

- Only one pair of parallel sides → This is a Trapezium
- Look at F: It has only one pair of parallel sides (top and bottom), slanted sides
- So, this matches Shape F → Trapezium

✔ Name: Trapezium

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

- Opposite sides equal and parallel → Parallelogram
- But no right angles → Not a rectangle or square
- Shape G is a parallelogram (slanted, not a rectangle)
- So, this matches Shape G → Parallelogram

✔ Name: Parallelogram

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✔ Final Matching:

| Shape | Name |
|-------|------------------|
| F | Trapezium |
| D | Rhombus |
| C | Square |
| A | Rectangle |
| G | Parallelogram |
| H | Kite |

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📌 Now Fill in the Worksheet:

On the right-hand side, write the names in order:

1. Rectangle → Shape A
2. Rhombus → Shape D
3. Square → Shape C
4. Kite → Shape H
5. Trapezium → Shape F
6. Parallelogram → Shape G

But note: The worksheet lists the descriptions in a different order than the shapes. We need to fill in the name for each property box.

So let's go down the property boxes (right column):

1. Opposite sides equal, parallel, 4 right angles → Rectangle
2. All sides equal, opposite parallel, diagonals at right angles, no right angles → Rhombus
3. All sides equal, opposite parallel, 4 right angles, diagonals at right angles → Square
4. 2 pairs of equal adjacent sides, diagonals cross at right angles → Kite
5. 1 pair of parallel lines → Trapezium
6. Opposite sides equal, 2 pairs of parallel sides, no right angles → Parallelogram

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✔ Final Answer – Fill in the Blanks:

| Name: | Rectangle |
|------|---------------|
| Name: | Rhombus |
| Name: | Square |
| Name: | Kite |
| Name: | Trapezium |
| Name: | Parallelogram |

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🧠 Summary of Key Properties:

| Shape | Properties |
|---------------|----------|
| Rectangle | Opposite sides equal & parallel, 4 right angles |
| Rhombus | All sides equal, opposite sides parallel, diagonals cross at right angles, no right angles |
| Square | All sides equal, opposite sides parallel, 4 right angles, diagonals cross at right angles |
| Kite | Two pairs of adjacent equal sides, diagonals cross at right angles |
| Trapezium | One pair of parallel sides |
| Parallelogram | Opposite sides equal & parallel, no right angles (in this case) |

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✔ You now have the full solution!