Answer these questions on reflection and congruence. I will NOT accept handwriten Answers

1. Given that A" (3, -3) is the image of A (-1, -5) under a reflection. Find the equation of the mirror line in the form of ax+by+c=0 (4 mks) 2. Three planes A, B and C leave an airport P simultaneously at 9.30a.m. Plane A flies on a bearing of 070" from P at a speed of 400km/h. Plane B flies on a bearing of 290 at a speed of 500km/h. Plane C flies on a bearing of 162" from P at a speed of 300km/h. (Use scale drawing for this question) (a) Show by scale drawing, the relative positions of the 3planes A, B and C three hours after leaving airport P. (Use scale Icm represents 200km) (b) After 3 hours, B turns and head straight to the current position of A at the same speed it had. Determine the scale drawing , the time it takes to reach this point, to the nearest minute (c) Determine the bearing and distance of B from C after the first 3 hours of flight after leaving P Rotation 1. Triangle PQR has vertices P(3,2), Q(-1,1) and R(-3,-1). (a) Draw POR on the grid provided. (1mk) (b) Under a rotation the vertices of P'Q'R' are P'(1.4), Q'(2,0) and R'(4,-1). Find the centre and angle of rotation using points P and Q. (4mks) (c) Triangle PQR is enlarged with scale factor 3 centre O(0,0) to give triangle P Q'R'. Draw triangle P'Q'R' and state its co-ordinates. (2mks) (d) Triangle P'Q'R' undergoes reflection in line y = -x to give triangle P'Q'R'. Draw P'Q'R' and state its coordinates. (3mks) 2. The figure below shows part of a diagram of rotation symmetry order 3 about a point O. Complete the diagram. (3mks) 3. In the figure below, triangle A'B'C is the image of triangle ABC under a rotation, centre O. By construction, find and label the centre O of the rotation. Hence, determine the angle of the rotation. (3mks) 4. The ratio of the lengths of the corresponding sides of two similar rectangular water tanks is 3: 5. The volume of the smaller tank is 8.1m'. Calculate the volume of the larger tank