Classifying Quadrilaterals Worksheet for students to identify and label different types of quadrilaterals.

Let’s go step by step to classify each quadrilateral based on its shape.

We’ll look at the properties of each figure:

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Figure 1:
- Has 4 sides → quadrilateral
- Only one pair of opposite sides is parallel (top and bottom)
→ This is a trapezoid

Figure 2:
- 4 sides, all angles are right angles (90°), opposite sides equal and parallel
→ This is a rectangle

Figure 3:
- Looks like Figure 1 — only one pair of parallel sides
→ Also a trapezoid

Figure 4:
- Opposite sides are parallel and equal, but no right angles
→ This is a parallelogram

Figure 5:
- All sides equal, all angles 90°
→ This is a square

Figure 6:
- Two pairs of adjacent sides equal, looks like a kite shape
→ This is a kite

Figure 7:
- All sides equal, opposite angles equal, but no right angles
→ This is a rhombus

Figure 8:
- 4 sides, all angles 90°, opposite sides equal
→ Even though it’s tall, it’s still a rectangle

Wait — let’s double-check Figure 8. It has 4 right angles? Actually, looking closely, it might not have perfect right angles — but in most school worksheets, if it looks like a rectangle and isn’t labeled otherwise, we assume it is. But actually, comparing to Figure 2, Figure 8 is just a rotated or taller version — same properties: 4 right angles, opposite sides equal → still a rectangle

But hold on — sometimes figures that look like rectangles but aren’t drawn perfectly can be tricky. However, since this is a classification worksheet for students, and Figure 8 clearly has two long vertical sides and two short horizontal sides with what appear to be right angles, we’ll classify it as a rectangle.

Actually — wait again! Let me check carefully. In some curricula, if a quadrilateral has 4 right angles, it’s a rectangle — regardless of orientation. So yes, Figure 8 = rectangle.

But now I notice something: Figure 2 and Figure 8 are both rectangles. That’s fine — multiple figures can be the same type.

Also, Figure 5 is a square — which is also a special kind of rectangle and rhombus, but we classify it as “square” because that’s the most specific name.

Similarly, Figure 7 is a rhombus — all sides equal, but not necessarily right angles.

Figure 6: Kite — two distinct pairs of adjacent equal sides. Yes.

Now, let’s list them:

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

Wait — is Figure 8 really a rectangle? Let me think again. If you look at the drawing, the top and bottom sides are horizontal, left and right are vertical — so yes, it should have 4 right angles. So rectangle is correct.

But here’s a catch: sometimes in these worksheets, they include a “general quadrilateral” — but none of these look irregular enough to be that. Figure 6 is a kite, which is specific.

Another thought: Is Figure 1 and 3 definitely trapezoids? Yes — only one pair of parallel sides.

In some definitions (especially US), a trapezoid has *exactly* one pair of parallel sides. In other places, it can have *at least* one. But in elementary math, usually “exactly one”.

So our classifications stand.

Final check:

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

Yes.

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