iGCSE Mathematics (0580) :C7.1 Add and subtract vectors. iGCSE Style Questions Paper 3

Question

(a)
(i) Write down the co-ordinates of point P.
(………………… , …………………)
(ii) Write down the column vector \(\vec{PQ}.\)
(iii)\(\vec{QR}=\begin{pmatrix}3\\ 2\end{pmatrix}\)
On the grid, plot point R
(iv) PQRS is a parallelogram.
On the grid, complete the parallelogram PQRS.
Write down the co-ordinates of point S.
(………………… , …………………)
(b)
(i) Describe fully the single transformation that maps triangle A onto triangle B.
……………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………..
(ii) On the grid, draw the image of triangle A after a reflection in the line y =-1. 
(iii) On the grid, draw the image of triangle A after a rotation through 180° about (0, 0).

Answer/Explanation

(a)(i) (–2, 5)
(ii)\(\begin{pmatrix}4\\ -3\end{pmatrix}\)
(iii) (5, 4) plotted
(iv) Parallelogram PQRS correctly drawn
(1, 7)
(b)(i) Translation
\(\begin{pmatrix}-4\\ 2\end{pmatrix}\)
(ii) Correct reflection
vertices (3, –3), (1, –3), (3, –4)
(iii) Correct rotation
vertices (–3, –1), (–1, –1), (–3, –2)

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