The grid sketch displays three triangles, $T$, $A$ and $B$, drawn on a $1\text{ cm}^2$ grid. Coordinate axes labelled $x$ and $y$ are also included.
Triangle $T$ has vertices at about $(1,2)$, $(4,2)$ and $(4,4)$. Triangle $A$ has vertices at about $(5,3)$, $(7,3)$ and $(5,6)$. Triangle $B$ has vertices at about $(1,6)$, $(4,6)$ and $(4,8)$.
(a)[3]
Describe fully the one transformation that takes triangle $T$ to triangle $A$.
(b(i))[2]
Describe fully the one transformation that takes triangle $T$ to triangle $B$.
(b(ii))[2]
Calculate the distance through which each point of triangle $T$ is moved when it is mapped onto triangle $B$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “a rotation” …