Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level47. Transformations 21. Triangle X is rotated 180° anticlockwiseyabout the origin to triangle Y.a) Draw triangles X and Y and writedown the co-ordinates of Y.b) Triangle Y is translated by the vector⎛0⎞to triangle Z. Draw triangle Z⎝4⎠and write down its co-ordinates.c) What single transformation willtransform triangle X onto Z?54321–5 –4 –3 –2 –1 0–1–2–3–412X345x2. a) Triangle ABC is transformed ontotriangle XYZ. What single transformationZY–5y4will do this?b) Triangle XYZ is transformed onto trianglePQR. What single transformation will dothis?c) If triangle PQR is rotated through 180°about the point (–1,0) to triangle STU,what are the co-ordinates of the new shape?d) What single transformation will transform-4R-3-2X-1Q3210-1-2-31A234xtriangle XYZ onto triangle STU?P-4BC3. a) Triangle A is reflected about the line y = 2 toytriangle B. Draw triangles A and B and write6down the co-ordinates of triangle B.b) Triangle B is rotated 90° clockwise aboutthe point (1,2) onto triangle C. Draw triangleC and write down its co-ordinates.c) What single transformation will transformtriangle A onto triangle C?-3-2-154A3210 1 2 3 4 5-1x-2