(1). A triangle has vertices at D(-5, 4), E(1, 8), and F(-1, -2). Show that the height from D is also the median from D. (2 Marks)

2. Show that the midsegments of a quadrilateral with vertices at P(-2, -2), Q(0, 4), R(6, 3), and S(8, -1) form a rhombus. (2 Marks)

3. Show that the midsegments of a rhombus with vertices at R(-5, 2), S(-1, 3), T(-2, -1), and U(- 6,- 2) form a rectangle. (2 Marks)

4. Show that the diagonals of the rhombus in question 10 are perpendicular and bisect each other. (2 Marks)

5. Show that the midsegments of a square with vertices at A(2, -12), B(-10, -8), C(-6, 4), and D(6, 0) form a square. (3 Marks)

6. a) Show that points A(-4, 3) and B(3, - 4) lie on x² +y²= 25. (2 Marks)

b) Show that the perpendicular bisector of chord AB passes through the centre of the circle. (2 Marks)

7. A triangle has vertices at A(3, 2), B(5, 6), and C(5, 0). (2 Marks each)

a) Determine the equation of the median from vertex A.

b) Determine the equation of the altitude from vertex A.

c) Determine the equation of the perpendicular bisector of BC.

d) What type of triangle is ABC? Explain how you know.