(1). A satellite orbits Earth on a path with x² + y²= 45 000 000. Another satellite, in the same plane, is currently located at (12 504, 16 050). Explain how you would determine whether the second satellite is inside or outside the orbit of the first satellite. (2 Marks)

(2). A square is a special type of rectangle. A square is also a special type of rhombus. How would you apply these descriptions of a square when using the coordinates of the vertices of a quadrilateral to determine the type of quadrilateral? Include examples in your explanation. (3 Marks)

THINKING/INQUIRY

(1).Points P(4, 12), Q(9, 14), and R(13, 4) are three vertices of a rectangle.

a) Determine the coordinates of the fourth vertex, S. (3 Marks)

b) Briefly describe how you found the coordinates of S. (2 Marks)

c) Predict whether the lengths of the diagonals of rectangle PQRS are the same length. Check your prediction. (2 Marks)

(2). ABC has vertices at A(3, 4), B(2, 0), and C(5, 0). Prove that the area of the triangle formed by joining the midpoints of ABC is one-quarter the area of ABC.