Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram contains one shaded quadrilateral together with three further quadrilaterals, labelled $A$, $B$ and $C$, on a $1\text{ cm}^2$ grid.
(a(i))[1]

State the mathematical name of the shaded quadrilateral.

(a(ii))[1]

State how many lines of symmetry the shaded quadrilateral has.

(b)[1]

Find the area of the shaded quadrilateral.

(c(i))[2]

Describe in full the single transformation that maps the shaded quadrilateral onto quadrilateral $A$.

(c(ii))[2]

Describe in full the single transformation that maps the shaded quadrilateral onto quadrilateral $B$.

(c(iii))[3]

Describe in full the single transformation that maps the shaded quadrilateral onto quadrilateral $C$.

(d)[2]

On the grid, draw the image of the shaded quadrilateral after a $90^\circ$ clockwise rotation about the origin.

Worked solution & mark scheme

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