Question
(a) Describe fully the single transformation that maps
(i) triangle A onto triangle B,
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(ii) triangle A onto triangle C.
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(b) Draw the image of triangle A after a translation by the vector \(\begin{pmatrix}-5\\ -10\end{pmatrix}\)
(c) Draw the image of triangle A after a reflection in the line y = 4.
Answer/Explanation
(a)(i) rotation
90 anticlockwise oe
(–3, 2)
(ii)enlargement
\(-\frac{1}{2}\)
(-2,-1)
(b) Image at (– 3, – 5) (1, − 5) (1, 3)
(c) Image at (2, 3) (6, 3) (6, − 5)
Question
(a) Draw the image of triangle T after a reflection in the line y =-1.
(b) Draw the image of triangle T after a rotation through 90° clockwise about (0, 0).
(c) Describe fully the single transformation that maps triangle T onto triangle A.
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Answer/Explanation
(a) Triangle at (–4, –4) (–1, –3) (–4, –3)
(b) Triangle at (1, 1) (1, 4) (2, 4)
(c) Translation \begin{pmatrix}5\\ -6\end{pmatrix}
Question
(a) Draw the image of shape A after a translation by the vector \(\begin{pmatrix}8\\ -6\end{pmatrix}\)
(b) Draw the image of shape A after a reflection in the line y =-1. [2]
(c) Describe fully the single transformation that maps shape A onto shape B.
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(d) Describe fully the single transformation that maps shape A onto shape C.
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Answer/Explanation
(a) Image at
(4, –1) (4, –4) (5, –4)
(b) Image at
(–4, –4) (–4, –7) (–3, –4)
(c) Enlargement
3
(–5, 5)
(d) Rotation
90º clockwise oe
(1, 1)