Classifying Quadrilaterals Worksheet for students to identify and classify shapes such as trapezoids, rectangles, squares, parallelograms, and rhombuses.

Let’s go through each shape one by one and figure out what kind of quadrilateral it is.

Remember: A quadrilateral is any shape with 4 straight sides. We classify them based on their sides and angles.

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Shape 1:
It has 4 sides. The top and bottom are parallel, but the left and right sides slant inward. Only one pair of opposite sides is parallel → This is a trapezoid.

Shape 2:
It has 4 sides. Opposite sides are equal and parallel. All angles are right angles (90°). But not all sides are equal → This is a rectangle.

Shape 3:
Same as Shape 1 — only one pair of parallel sides (top and bottom), sides slant outward → Also a trapezoid.

Shape 4:
Opposite sides are parallel and equal. Angles are NOT right angles. Looks like a “slanted rectangle” → This is a parallelogram.

Shape 5:
All 4 sides are equal. All angles are right angles → This is a square.

Shape 6:
This one is tricky! It has 4 sides, but no sides are parallel. Two pairs of adjacent sides are equal (like a kite) → This is a kite.

Wait — let me double-check. In some curricula, if it doesn’t fit standard categories, they might just call it a “quadrilateral,” but since this worksheet asks to classify, and it looks symmetric with two short sides and two long sides meeting at points, yes — kite is correct.

Shape 7:
All 4 sides look equal. Opposite angles are equal. No right angles. Diagonals would cross at right angles → This is a rhombus.

Note: A rhombus is like a tilted square — all sides equal, but angles aren’t necessarily 90°.

Shape 8:
Looks like a rectangle standing up tall. Opposite sides equal and parallel, all angles 90°, but length ≠ width → Still a rectangle.

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Let me verify again:

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

Some schools may use different names (e.g., calling a rhombus a diamond), but in math class, we use precise terms.

Also note: Sometimes “trapezium” is used outside the US, but here we’ll stick with “trapezoid” for shapes with exactly one pair of parallel sides.

Final check — all shapes have 4 sides, so all are quadrilaterals. Classification is based on properties.

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Final Answer:
1. Trapezoid
2. Rectangle
3. Trapezoid
4. Parallelogram
5. Square
6. Kite
7. Rhombus
8. Rectangle