Mathematics 4024 · O Level · Transformations

Transformations — practice question

Triangles $A$, $B$, $C$ and $D$ have been drawn on a centimetre square grid.
(a)[2]

The perimeter of triangle $A$ is $(a+\sqrt{b})\text{ cm}$, where $a$ and $b$ are integers. Find the values of $a$ and $b$.

(b)[1]

Write down the column vector for $T$.

(c)[2]

Describe in full the single transformation taking triangle $B$ onto triangle $C$.

(d)[3]

Describe in full the single transformation that sends triangle $B$ to triangle $D$.

(e)[1]

Write down the matrix for the transformation that takes triangle $D$ onto triangle $A$.

(f(i))[1]

Find the coordinates for $P$.

(f(ii))[2]

Describe in full the single transformation $X$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Therefore $a=3,\ b=5$.

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