13.07.2015 Views

Mathematics and Mathematical Literacy - Thutong

Mathematics and Mathematical Literacy - Thutong

Mathematics and Mathematical Literacy - Thutong

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<strong>Mathematics</strong>(NSC)/Grade 12/ P2 37 Exemplar3.2yB''C''C'B'y = xD''E''E'D'A''F''F'A'ABDCFExIn the diagram above hexagon A''B''C''D''E''F''C is the image of hexagonABCDEF after the following composition of transformations:• Reflection about the line y = x followed by:• Reflection about the y-axis3.2.1 Show that the co-ordinates of A'' are (-3;4) if A is the point (4;3) (3)3.2.2 Hence, or otherwise, show that the composition of transformationsabove is equivalent to a rotation of 90° about the origin. (4)[18]Copyright reserved

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