The vertices of a triangle are

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

The vertices of a triangle are A(1,2)A(1,2), B(4,2)B(4,2) and C(1,6)C(1,6). The triangle is transformed by (x,y)↦(3x, y)(x,y)\mapsto(3x,\,y). Find the area of the image of the triangle. (a) 12 square units12\text{ square units} (b) 6 square units6\text{ square units} (c) 18 square units18\text{ square units} (d) 9 square units9\text{ square units}

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