9709/MayJune/1/2008/Q11

In the diagram, the points A and C lie on the x- and y-axes respectively and the equation of AC is
2y + x = 16. The point B has coordinates (2, 2). The perpendicular from B to AC meets AC at the
point X.
(i) Find the coordinates of X. [4]
The point D is such that the quadrilateral ABCD has AC as a line of symmetry.
(ii) Find the coordinates of D. [2]
(iii) Find, correct to 1 decimal place, the perimeter of ABCD. [3]

Solution:

(ii)

D = (6,10)

(iii)

Reference: PYQ - May/June 2008 Paper 1 Q11