1. Given the vertices of a triangle are P(3,7), Q(-8,2) and R(-4,-9). Determine the equation of the altitude that passes through the point P. Include a diagram with your solution. [5 marks] 2. The four vertices of a quadrilateral are A(-4,5), B(1,9), C(6,5) and D(1,1). What type of quadrilateral is ABCD? Use calculations to support your answer. [5 marks] 3. The vertices of a kite are A(-3,1), B(0,5), C(4,2) and D(2, -9). a. Determine the lengths of the four sides of the kite. What do you notice? [3 marks] b. Determine the slopes of the diagonals (from one corner to the other comer). What do you notice? [3 marks] c. Find the midpoint of the diagonal AC. [1 mark] d. Find the equation of the diagonal BD. [3 marks] e. Show the midpoint of AC lies on the equation of a line though BD. [3 marks] f. Analyze the previous calculations and list 3 properties of a kite. [3 marks]