A trapezium is a quadrilateral with one pair of parallel sides. The other two sides are not parallel and can have different lengths. To recognize a trapezium, look for a shape with one pair of parallel sides and no other pairs of parallel sides.
An isosceles trapezium is a special type of trapezium where the non-parallel sides are congruent (have the same length). This means that the base angles, which are the angles formed by the non-parallel sides and the base, are also congruent.
To recognize an isosceles trapezium, look for a shape that meets the criteria of a trapezium with one pair of parallel sides and no other pairs of parallel sides, and also has congruent non-parallel sides and base angles.
Here's an example:
- A shape with sides measuring 5 cm, 8 cm, 5 cm, and 10 cm is a trapezium because it has one pair of parallel sides (5 cm and 8 cm) and the other two sides are not parallel.
- If the trapezium has congruent non-parallel sides (5 cm and 5 cm) and congruent base angles, then it is an isosceles trapezium.
Remember to check for the specific properties of a trapezium and an isosceles trapezium to correctly recognize these shapes.