iGCSE Mathematics (0580) : C7.2 Reflect simple plane figures in horizontal or vertical lines. iGCSE Style Questions Paper 1

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 \(\overheadarrow{AC}\)

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