Question
Points A and B are shown on the grid.
Write \(\overrightarrow{AB}\) as a column vector.
Answer/Explanation
Ans: \(\binom{7}{-4}\)
Question
Draw the image of shape A after a translation by the vector \(\binom{2}{-3}\).
Answer/Explanation
Ans: Triangle (3, –2), (4, –2), (4, –1)
Question
Three shapes A, B and C are shown on the grid.
(a) Describe fully the single transformation that maps shape A onto
(i) shape B,
Answer/Explanation
Ans: reflection
x = 3
(ii) shape C
Answer/Explanation
Ans: rotation
[centre] (0,0) oe
180
(b) Enlarge shape A by scale factor 2 from the centre (4, 0).
Answer/Explanation
Ans: correct enlargement
(−2, 0), (−4, 0), (−2, 6), (−4, 8)
Question
(a) Work out.
\(\begin{pmatrix}
3\\-2
\end{pmatrix}
+
\begin{pmatrix}
1\\-1
\end{pmatrix}\)
(b) 
Points A and B are marked on the grid.
\(\overrightarrow{BC}= \begin{pmatrix}
-4\\0
\end{pmatrix}\)
(i) On the grid, plot the point C.
(ii) Write \(\overrightarrow{AC}\) as a column vector.
Answer/Explanation
Ans:
(a) \(\begin{pmatrix}
4\\-3
\end{pmatrix}\)
(b) (i) Point at (3, 5)
(ii) \(\begin{pmatrix}
1\\-3
\end{pmatrix}\)
FT their \(\overheadarrow{AC}\)