Question

A figure has no line of symmetry but a rotational symmetry of 2. Draw and name the respective figure? Find its area given that its side length is 5m and base length is 6m and height is 4m. [4 MARKS]

Answer 1

Correct name: 1 Mark
Diagram: 1 Mark
Formula for area: 1 Mark
Result: 1 Mark

A general parallelogram is a geometric figure which does not have any line of symmetry. It, however, has an order of rotational symmetry of 2 as we get the same figure when it's rotated by ${180}^{\circ }$ or ${360}^{\circ }$.

For example, if we rotate the following figure by ${180}^{\circ }$, we will still get an identical figure, hence it has an order of rotational symmetry as 2.


For a parallelogram, the area is given by Base x Height
According to question, Base = 6m and Height = 4m

Area = $6\times 4=24m^2$