The image of triangle OXY under reflection in the origin, O is the triangle OX1Y1, where X1(-3,- 4) is the image of X and Y1, (0, - 5) is the image of Y.
(i) Draw a diagram to represent this information and write down the Co-ordinates of X and Y.
(ii) What kind of figure is the quadrilateral XYX1Y1 ? Give reason for your answer. State, with a reason, whether the figure XYX1Y1 has any lines of symmetry.
(iii) Find the co-ordinates of X2, the image of X under reflection in the origin followed by reflection on the Y-axis.
(iv) Find the co-ordinates of Y2, the image of Y under reflection on the X-axis followed by reflection in the origin