Question

# (a) A polygon has 2 lines of symmetry and order of rotational symmetry is 2. The adjacent sides of the polygon are not equal. The perimeter of the polygon is 24 m. Given one side length as 9 m, find the area of the polygon? (b) The order of the rotational symmetry of the given figure about its centre is: (c) The order of the rotational symmetry of the given figure about the point marked ‘x’ is: [4 MARKS]

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Solution

## (a) Calculations: 1 Mark Result: 1 Mark (b) Answer: 1 Mark (c) Answer: 1 Mark (a) The given polygon will be a rectangle. Perimeter = 24 2(a+b) = 24 Put a=9 [given] b = 3 Area of the rectangle = (9)*(3) = 27 m2 (b) The number of positions in which the object looks exactly the same is called the order of rotational symmetry. The order of symmetry of the given figure is 2. (c) The number of position in which the object look exactly the same is called the order of rotational symmetry. The order of symmetry of the given figure is 2.

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