Properties of Quadrilaterals worksheet for identifying and describing shapes like rectangles, rhombuses, trapezoids, squares, kites, and parallelograms.

Let's solve this worksheet step by step.

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Objective:

Match each quadrilateral (labeled F, D, C, A, G, H) on the left with its correct name and properties on the right.

We are given six shapes labeled F, D, C, A, G, H and six sets of properties. We need to match each shape with the correct description based on its geometric properties.

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Step 1: Identify the Shapes

Let’s examine each shape:

- F: A quadrilateral with only one pair of parallel sides → This is a Trapezoid.
- D: A parallelogram with non-right angles and opposite sides equal and parallel → This is a Parallelogram.
- C: A square — all sides equal, all angles 90° → This is a Square.
- A: A rectangle — opposite sides equal, all angles 90° → This is a Rectangle.
- G: Looks like a rhombus — all sides equal, opposite sides parallel, no right angles → This is a Rhombus.
- H: Has two pairs of adjacent equal sides, diagonals cross at right angles → This is a Kite.

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Step 2: Match Each Shape to Its Properties

Now let’s go through the property boxes on the right and assign the correct names.

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#### Box 1:
> Opposite sides equal
> Opposite sides parallel
> 4 right angles

✔ This describes a Rectangle
→ Matches Shape A

So, Name: Rectangle

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

✔ This is a Rhombus
→ Matches Shape G

So, Name: Rhombus

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

✔ This is a Square
→ Matches Shape C

So, Name: Square

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

✔ This is a Kite
→ Matches Shape H

So, Name: Kite

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

✔ This is a Trapezoid
→ Matches Shape F

So, Name: Trapezoid

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

✔ This is a Parallelogram
→ Matches Shape D

So, Name: Parallelogram

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✔ Final Answers:

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

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Now fill in the blanks on the worksheet:

From top to bottom:

1. Name: Rectangle
→ Opposite sides equal, opposite sides parallel, 4 right angles

2. Name: Rhombus
→ All sides equal, opposite sides parallel, diagonals cross at right angles, no right angles

3. Name: Square
→ All sides equal, opposite sides parallel, 4 right angles, diagonals cross at right angles

4. Name: Kite
→ 2 pairs of equal adjacent sides, diagonals cross at right angles

5. Name: Trapezoid
→ 1 pair of parallel lines

6. Name: Parallelogram
→ Opposite sides are equal, 2 pairs of parallel sides, no right angles

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✔ Summary:

Each shape matches uniquely with one property set. The key is understanding the defining characteristics:

- Rectangle: 4 right angles, opposite sides equal and parallel
- Rhombus: All sides equal, opposite sides parallel, no right angles, diagonals perpendicular
- Square: All sides equal, all angles 90°, diagonals perpendicular
- Kite: Two pairs of adjacent equal sides, diagonals intersect at right angles
- Trapezoid: Exactly one pair of parallel sides
- Parallelogram: Opposite sides equal and parallel, no right angles

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✔️ Final Answer (Fill-in-the-blanks):

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

This completes the worksheet correctly!