
1. The process of getting the point P_{1}, from any point P by making use of a line 'l' is called reflection in the l or symmetric mapping with respect to l.
2. If l(P) = P_{1}, then l(p_{1}) = P 3. Reflection maps the plane onto itself it preserves distance, angle measures collinearity, betweenness and areas. 4. Reflection reverses the orientation of the plane. 5. Points on the axis of reflection are invariant or fixed points and the line is a fixed line. 6. A line perpendicular to l is mapping onto itself when reflected in l. 7. Two figures are said to be congruent if one can be obtained from the other by one more reflections. 8. Reflection of (x,y) in Xaxis is (x,y). 9. Reflection of (x,y) in Yaxis is (x,y), 10. Even number of reflections retains the orientation of the plane, odd number of reflections reverses the orientation of the plane. 11. If l ^ m, then lm = ml. If l and m are intersecting lines then lm ¹ ml. 12. A mapping of a plane in which each point of the plane moves in the same direction through the same distance is called translation. 13. Two successive reflections in a pair of parallel lines is a translation. Two successive reflections in a pair of intersecting lines in a rotation. 14. Translation preserves lengths, angle measures, parallelism, perpendicularity, collinearity, betweenness and orientation. 15. There are no fixed points in translation. 16. The line along which translation is made and the lines parallel to it are fixed lines. 17. Rotation preserves lengths, angle measures and orientation. 18. In rotation, the centre of rotation is the only fixed point.
19. (a) O_{a + b} = O_{b + a}.
20. If a figure remains unaltered by reflection in a point O, the figure is said to be symmetric with respect to O. 21. A parallelogram has point symmetry. The intersection of the diagonals is the centre of symmetry.
Directions: Choose the correct answer. 