Classifying Quadrilaterals Worksheet for identifying and naming 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:

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

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

Shape 3:
- 4 sides, only one pair of opposite sides parallel (top and bottom)
→ Also a trapezoid

Shape 4:
- 4 sides, both pairs of opposite sides are parallel, but no right angles
→ This is a parallelogram

Shape 5:
- 4 sides, all sides equal, all angles 90°
→ This is a square

Shape 6:
- 4 sides, two distinct pairs of adjacent sides that are equal
→ This is a kite

Shape 7:
- 4 sides, all sides equal, opposite sides parallel, but angles not 90°
→ This is a rhombus

Shape 8:
- 4 sides, looks like a rectangle but tilted? Wait — actually, looking closely: it has 4 right angles? No — in the drawing, it appears to have 4 right angles and opposite sides equal. But wait — if it's drawn as a vertical rectangle, then yes. Actually, Shape 8 is just a rectangle too — same as Shape 2, just oriented vertically.

Wait — let me double-check Shape 8. In many worksheets, if it’s drawn with 4 right angles and opposite sides equal, even if tall and narrow, it’s still a rectangle. So yes — rectangle

But hold on — sometimes students get confused between rectangle and parallelogram. Remember: rectangles are special parallelograms with right angles. Since Shape 8 has right angles (implied by the straight corners), it’s a rectangle.

Actually, looking again — in some curricula, they might call any 4-sided figure with 2 pairs of parallel sides a parallelogram, and if it has right angles, it’s also a rectangle. But for classification here, we use the most specific name.

So:

- If it has 4 right angles → rectangle (even if tall)
- If all sides equal + 4 right angles → square
- If all sides equal but no right angles → rhombus
- If only one pair of parallel sides → trapezoid
- If two pairs of parallel sides but no right angles → parallelogram
- If two pairs of adjacent equal sides → kite

Now rechecking:

Shape 1: Trapezoid ✔
Shape 2: Rectangle ✔
Shape 3: Trapezoid ✔
Shape 4: Parallelogram ✔
Shape 5: Square ✔
Shape 6: Kite ✔
Shape 7: Rhombus ✔
Shape 8: Rectangle ✔ (same as #2, just rotated)

Wait — is Shape 8 really a rectangle? Let me think: in the image description, it says “a tall thin four-sided figure” — if the corners are right angles, yes. But sometimes in drawings, if it’s slanted, it could be a parallelogram. However, since this is a worksheet for classifying shapes, and Shape 8 is drawn with vertical and horizontal lines (as per typical textbook style), it’s safe to assume it’s a rectangle.

Alternatively, maybe it’s meant to be a general parallelogram? But no — in standard Math Monks worksheets, Shape 8 is usually a rectangle.

Actually, let me recall: in many such worksheets, Shape 8 is intentionally drawn as a rectangle standing upright — so yes, rectangle.

Final classifications:

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

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