(a) Describe fully the single transformation that maps
(i) triangle A onto triangle B (ii) triangle A onto triangle C
(b) Draw the image of triangle A after a translation by the vector \(\begin{pmatrix} 2 \\10 \end{pmatrix}\).
▶️ Answer/Explanation
Solution
(a)(i) Rotation 90° anticlockwise about (0, -1)
(a)(ii) Enlargement with scale factor 1/3, center (6, 6)
(b) Triangle at (-4,7), (-4,1), (-1,1)
For (b), each vertex of triangle A moves right 2 units and up 10 units.
Question
Describe fully the single transformation that maps triangle A onto triangle B.
▶️ Answer/Explanation
Solution
Ans: Rotation, 90° clockwise about (5,3)
From the diagram, triangle B is a 90° clockwise rotation of triangle A. The center of rotation is where the perpendicular bisectors of corresponding points meet, which is at (5,3).
