Classify the quadrilaterals worksheet for Grade 5 students.

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 meeting any of the above definitions.

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Now let’s go through each figure:

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1.

- Shape: A parallelogram with slanted sides.
- Opposite sides are parallel and equal.
- Angles are not 90°, and sides are not all equal.
- ✔ Parallelogram

> ✘ Not a rhombus (sides not equal), ✘ Not rectangle (angles not 90°)

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2.

- Shape: Four equal sides, all angles 90°.
- ✔ Square

> Square is also a rectangle and a rhombus, but the most specific classification is square.

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3.

- Shape: Four right angles, opposite sides equal, but adjacent sides different lengths.
- ✔ Rectangle

> Not a square (sides not all equal).

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4.

- Shape: One pair of parallel sides? Let's check:
- Looks like only the top and bottom are parallel.
- The other two sides are not parallel.
- ✔ Trapezoid

> This is a trapezoid because it has exactly one pair of parallel sides.

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5.

- Shape: Opposite sides are parallel and equal.
- Sides are not at 90°, and sides appear unequal in length?
- Wait — actually, this looks like a parallelogram.
- But if all four sides are equal, then it's a rhombus.
- However, from the drawing, it seems like opposite sides are equal, but not all four sides equal.

Wait — let’s be careful.

Looking closely: This shape appears to have opposite sides equal and parallel, but not all sides equal → so it's a parallelogram.

But if all sides were equal, it would be a rhombus. From the image, it does not look like all sides are equal.

So:
✔ Parallelogram

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6.

- Shape: Two parallel sides (top and bottom), non-parallel sides slanting outward.
- This is a trapezoid.
- Since both non-parallel sides are slanting outward, it’s an isosceles trapezoid? But we don’t need that detail.
- ✔ Trapezoid

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7.

- Shape: Looks like a parallelogram, but with slanted sides.
- Opposite sides are parallel and equal.
- Angles are not 90°, and sides appear equal?
- Wait — actually, this looks like a rhombus?

Let’s compare:
- If all four sides are equal, and opposite sides parallel → rhombus.
- In this figure, it looks like all sides are the same length.

Yes — this is a rhombus.

✔ Rhombus

> It's also a parallelogram, but rhombus is more specific.

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8.

- Shape: Four right angles, opposite sides equal.
- Adjacent sides are different lengths → not a square.
- ✔ Rectangle

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9.

- Shape: Slanted, opposite sides parallel and equal.
- Appears to have all sides equal? Let’s see.
- Yes — it looks like a rhombus.
- But angles are not 90°.
- So it’s not a rectangle or square, but all sides equal → ✔ Rhombus

> Wait — is it a parallelogram or rhombus?

If all sides are equal → rhombus. Rhombus is a type of parallelogram.

So best answer: ✔ Rhombus

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✔ Final Answers:

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

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📝 Summary:

- Square: #2
- Rectangle: #3, #8
- Rhombus: #7, #9
- Parallelogram: #1, #5
- Trapezoid: #4, #6
- Scalene (irregular): None of these qualify — all have at least one defining property.

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✔ Answer Key for Worksheet:

1. Parallelogram
2. Square
3. Rectangle
4. Trapezoid
5. Parallelogram
6. Trapezoid
7. Rhombus
8. Rectangle
9. Rhombus

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