# Constructing Quadrilaterals by Four Sides (2014)

Answer the following questions using the applet.
1. Can you make a quadrilateral of four sides being 2 cm, 3 cm, 3 cm and 9 cm? Why or why not?
2. If a quadrilateral has four equal sides, what are its possible shapes?
3. If a quadrilateral has two pairs of equal opposite sides, what are its possible shapes?
4. If a quadrilateral has two pairs of equal adjacent sides, what is its shape?
5. Make the trapezium of the four sides (from top to bottom) being:
(a) 4 cm, 4 cm, 4 cm, 6 cm; (b) 4 cm, 4 cm, 5 cm, 6 cm;
(c) 4 cm, 3 cm, 5 cm, 7 cm; (d) 3 cm, 3 cm, 5 cm, 7 cm.
What is the characteristic of trapeziums?

Anthony Or, GeoGebra Institute of Hong Kong.

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