Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

A grid displays triangle $A$ and triangle $B$. Triangle $A$ has its vertices marked, while triangle $B$ appears to the left of the grid. The axes are labelled $x$ and $y$.
(a(i))[2]

On the grid, draw the image of triangle $A$ after reflecting it in the line $x = 1$.

(a(ii))[2]

On the grid, draw the image of triangle $A$ after an enlargement by scale factor $\frac{1}{2}$ with centre $(5, 1)$.

(b)[3]

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

(c)[2]

Point $(a, b)$ is reflected in the line $y = k$ where $k$ is an integer and $b < k$. State the coordinates of the image of point $(a, b)$ in terms of $a$, $b$ and $k$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Triangle with vertices $(1,-1),(1,-3),(-3,-3)$

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