A coordinate grid is displayed, and the shaded figure is marked T. The vertices of shape T are plotted on the grid. Both the x-axis and y-axis run from 0 to 10. Shape T sits with one vertex at about (2,1), one more at (4,3), another at (5,3) and the last at (5,1).
(a(i))[2]
Translate shape T using the vector $\begin{pmatrix}-1\\6\end{pmatrix}$. Call the image A.
(a(ii))[2]
Rotate shape T through $180^{\circ}$ about the point $(5, 3)$. Name the image B.
(a(iii))[3]
Describe fully the single transformation that takes shape A onto shape B.
(b(i))[2]
Reflect shape T across the line $y = x$.
(b(ii))[2]
Find the matrix that represents the transformation from part b(i).
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The image is at (1,7), (4,7), (4,9), (3,9)” …