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Trapezium

ABCD is a trapezium. Click and drag either of the blue points to change the shape of the trapezium.

Move the points B and C so that <A = <D.

1. What observation can you make regarding the lengths of AB and DC?
2. What is the special name given to the trapezium in question (1)?
3. A trapezium is defined as a quadrilateral with at least one pair of parallel lines. By this defintion, trapeziums are inclusive of the parallelograms. Move the points B and C so that a parallelogram is formed. What properties tell you that this is a parallelogram?

© State of New South Wales, Department of Education, 2018