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8   Shapes and geometric reasoning







               Wherever you look, you will see objects of different shapes and       Key words
               sizes. Many are natural, but many have been designed by someone.
                                                                                    Make sure you learn and
               An architect is a person who plans and designs buildings. Architects   understand these key words:
               make scale drawings, and often scale models, of the buildings they   hypotenuse
               plan.They make sure their designs follow local rules and regulations   congruent
               and they make sure the people who build their buildings follow the   corresponding sides
               plans correctly.                                                     corresponding angles
                                                                                    line symmetry
                                                                                    rotational symmetry
                                                                                    diagonal
                                                                                    bisect
                                                                                    net
                                                                                    scale drawing
                                                                                    scale






               Towns and cities all over the world have buildings designed to
               meet the needs of people who live and work there.
               The Burj Khalifa in Dubai is the tallest building in the world
               (as of 2012). It is over 828 metres tall and contains 163 floors.
               It holds the record for having an elevator with the longest travel
               distance in the world. Construction began in September 2004 and
               the building was officially opened in January 2010. The Burj Khalifa
               cost $1.5 billion to construct.

               In the 1970s Piet Blom designed the Cubic Houses, in Rotterdam, the
               Netherlands. Each house is a cube, tilted at a 45° angle. Each house
               is supposed to represent a tree, with the village forming a ‘forest’.

               In this unit you will learn how to interpret and make scale drawings.
               You will look at the symmetry of 2D shapes as well as other
               properties of quadrilaterals.



















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