Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram displays a point $P$, three triangles $A$, $B$ and $C$, together with part of triangle $D$, drawn on a $1\text{ cm}^2$ grid.
(a)[1]

Plot the image of point $P$ after reflecting in the line $y = 0$ on the grid.

(b)[2]

Calculate angle $a$ using trigonometry.

(c(i))[3]

Describe fully the single transformation that takes triangle $A$ onto triangle $B$.

(c(ii))[2]

Describe fully the single transformation that takes triangle $A$ onto triangle $C$.

(d(i))[1]

Write down the scale factor of the enlargement.

(d(ii))[2]

Find the coordinates of the remaining two vertices of triangle $D$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Point $P$ plotted at $(13,4)$

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