Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram represents a quadrilateral $PQRS$ formed from four congruent triangles A, B, C and D.
(a)[1]

Write down the mathematical name of quadrilateral $PQRS$.

(b(i))[1]

Write down the co-ordinates of $S$.

(b(ii))[1]

Measure the obtuse angle $PSR$.

(c(i))[1]

Measure the length of line $PQ$.

(c(ii))[1]

Work out the perimeter of quadrilateral $PQRS$.

(d(i))[2]

Describe fully the single transformation that maps triangle A onto triangle B.

(d(ii))[3]

Describe fully the single transformation that maps triangle A onto triangle C.

(e)[2]

On the grid, draw the image of triangle D after a translation by the vector $\begin{pmatrix}1\\-2\end{pmatrix}$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The shape is a rhombus

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