Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level46. Transformations 11. a) The triangle S is reflected across the lineyy = 0 to triangle T. Copy the diagram andshow triangle T. What are the co-ordinates54of triangle T?b) Triangle T is reflected across the line x = 0to triangle U. Draw triangle U and writedown its co-ordinates.c) What is the single transformation thatS21–5 –4 –3 –2 –1 0–1–2312345xtransforms triangle U onto triangle S?–3–4–52. Triangle A has vertices at (–2,2), (–4,2) and(–2,4). Copy the diagram and draw each of thefollowing transformations.In each case write down their co-ordinates.a) A rotation of triangle A of 90° clockwiseabout the origin. Label this B.b) A reflection of A about the line y = x. Labelthis C.1c) An enlargement of A with a scale factor of --2through the origin (0,0). Label this D.d) What single transformation will transform Dback into A?-4-3A-2-1y43210-1-2-3-41234x3. Triangle A, B, C is transformed into triangle2A 1 ,B 1 ,C 1by an enlargement of scale factor --through the origin (0,0).a) Draw triangles A, B, C and A 1 ,B 1 ,C 1.b) Write down the co-ordinates of triangleA 1 ,B 1 ,C 1.5y5432ABCc) A 1 ,B 1 ,C 1is transformed onto A, B, C. Whatsingle transformation will do this?101 2 3 4 5x