Grade 5 Geometry Worksheets: Quadrilaterals | Worsheets library - Free Printable

Let's solve the Classifying Quadrilaterals worksheet step by step.

We are given 9 quadrilaterals, and we need to classify each one as:
- Square
- Rectangle
- Rhombus
- Parallelogram
- Trapezoid
- Scalene (irregular)

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🔍 Definitions:

1. Square: All sides equal, all angles 90°.
2. Rectangle: Opposite sides equal, all angles 90°.
3. Rhombus: All sides equal, opposite angles equal (not necessarily 90°).
4. Parallelogram: Opposite sides parallel and equal; opposite angles equal.
5. Trapezoid: Exactly one pair of parallel sides.
6. Scalene (Irregular): No special properties — no parallel sides, or not fitting any above.

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Now let’s analyze each shape:

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1.

✔ Parallelogram
- Opposite sides are parallel and equal in length.
- Not all sides equal → not a rhombus.
- Angles are not 90° → not a rectangle or square.
→ Parallelogram

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2.

✔ Square
- All four sides appear equal.
- All angles are 90°.
→ Square

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3.

✔ Rectangle
- Opposite sides equal.
- All angles are 90°.
- But adjacent sides are different lengths → not a square.
→ Rectangle

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4.

✔ Scalene (Irregular)
- No sides appear equal.
- No pairs of parallel sides visible.
- Looks like an irregular quadrilateral with no symmetry.
→ Scalene (irregular)

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5.

✔ Parallelogram
- Opposite sides are parallel and equal.
- Sides are not equal in length → not a rhombus.
- Angles are not 90° → not a rectangle or square.
→ Parallelogram

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6.

✔ Trapezoid
- Only one pair of parallel sides (top and bottom).
- The other two sides are slanted and not parallel.
→ Trapezoid

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7.

✔ Rhombus
- All four sides look equal in length.
- Opposite sides are parallel.
- Angles are not 90° → not a square or rectangle.
→ Rhombus

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8.

✔ Rectangle
- Opposite sides equal.
- All angles are 90°.
- Not a square because sides are unequal.
→ Rectangle

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9.

✔ Parallelogram
- Opposite sides are parallel and equal.
- Not all sides equal → not a rhombus.
- Angles are not 90° → not a rectangle or square.
→ Parallelogram

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✔ Final Answers:

| Number | Classification |
|--------|------------------------|
| 1 | Parallelogram |
| 2 | Square |
| 3 | Rectangle |
| 4 | Scalene (irregular) |
| 5 | Parallelogram |
| 6 | Trapezoid |
| 7 | Rhombus |
| 8 | Rectangle |
| 9 | Parallelogram |

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📝 Summary:

- Squares: 2
- Rectangles: 3, 8
- Rhombuses: 7
- Parallelograms: 1, 5, 9
- Trapezoids: 6
- Scalene (irregular): 4

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