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A trapezium PQRS with vertices P (2, 2), Q (6, 2). R (6, 4) and S (2, 8) is mapped onto P'Q'R'S by a transformation matrix m = $\begin{pmatrix}
-1 & 0 \\
0 & 1
\end{pmatrix}
$ (2 marks)
a. Find the coordinates of P'Q'R'S'. (2 marks)
b. On the grid provided draw PQRS and its image P'Q'R'S'.
c.i. Find P"Q"R"S". The image of P'O'R'S' under the transformation matrix, (1 mark)
$N=
\begin{pmatrix}
-\frac{1}{2} & 0 \\
0 & -\frac{1}{2}
\end{pmatrix}
$
ii. On the same grid draw P'Q"R"S". (1 mark) d. i. Find a single matrix that maps P"Q"R"S" onto P'Q'R'S'. (2 marks)....