Use graph paper for this question. Take 1 cm = 1 unit on both axes. Plot the points A(3, 0) and B(0, 4).(iii) Assign the special name to the quadrilateral ABA1B1. (iv) If C is the midpoint is AB. Write down the co-ordinates of the point C1, the reflection of C in the origin.

(iii) The quadrilateral ABA1B1 will be a rhombus.

(iv) Let C be midpoint of AB.

Co-ordinate of C = ((3+0)/2 , (0+4)/2) = (3/2, 2) [Midpoint formula]

In a point reflection in the origin, the image of the point (x,y) is the point (-x,-y).

Hence the reflection of C in the origin is (-3/2, -2)