Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The grid contains one shaded quadrilateral and a second quadrilateral marked A.
(a)[1]

State the mathematical name of the shaded quadrilateral on the grid.

(b)[3]

Give a full description of the single transformation that takes the shaded quadrilateral to quadrilateral A.

(c)[3]

Complete the statement using a fraction in simplest form. The area of quadrilateral A is ................. of the area of the shaded quadrilateral.

(d)[6]

On the grid, plot the image of shape A after (i) a translation by the vector $\begin{pmatrix}-4\\7\end{pmatrix}$, (ii) a rotation of $180^\circ$ about the origin, (iii) a reflection in the line $x = 2$.

Worked solution & mark scheme

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