Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram displays triangles $T$, $U$ and $V$ on a coordinate grid.
(a(i))[2]

Draw the image of triangle $T$ after reflecting in the line $x = 0$.

(a(ii))[2]

Draw the image of triangle $T$ after a $90^\circ$ clockwise rotation about $(-2, -1)$.

(a(iii))[2]

Describe fully the single transformation that carries triangle $T$ onto triangle $U$.

(a(iv))[3]

Describe fully the single transformation that carries triangle $T$ onto triangle $V$.

(b(i))[2]

Find the matrix that gives the transformation in part (a)(i).

(b(ii))[2]

Describe fully the single transformation represented by the inverse of the matrix in part (b)(i).

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate reflected image

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