Question 2 In the diagram, C is a point on the y-axis such that A(0; 4), B(4; -4), C and D(-4; 2) are vertices of parallelogram ABCD. K is the point (0-2) and L is a point on AB such that KL || CB. D-4:2 PA(0:4) 0.-21) B(4;-4) 2.1) Calculate the length of diagonal DB. (3) 2.2) Calculate the coordinates of M, the midpoint of DB. (3) 2.3) Calculate the gradient of AD. 2.4) Prove that AD LAB. (3) (3) 2.5) Give a reason why parallelogram ABCD is a rectangle. 2.6) Determine the equation of KL in the form y = mx + c. 2.7) Write down, with reasons, the coordinates of C. 2 2 2 2 2 2 2 (1) (2) (3) [18]
