Classifying quadrilaterals by their geometric properties using a worksheet with diagrams and a classification table.

Final Answer:
| Quadrilateral | Diagonals always equal in length? | Diagonals intersect at 90°? | How many pairs of parallel sides? | How many pairs of opposite angles are equal? |
|-----------------|-----------------------------------|----------------------------|-----------------------------------|----------------------------------------------|
| Kite | No | Yes | 0 | 1 |
| Parallelogram | No | No | 2 | 2 |
| Rhombus | No | Yes | 2 | 2 |
| Square | Yes | Yes | 2 | 2 |
| Rectangle | Yes | No | 2 | 2 |
| Trapezium | No | No | 1 | 0 (in general; only if isosceles, then 1) |

Note: For a general trapezium (only one pair of parallel sides, not necessarily isosceles), opposite angles are *not* equal. So we put 0. If the problem assumes an isosceles trapezium, it would be 1—but since “Trapezium” alone usually means general, 0 is correct for standard classification tasks like this.