1. A, B, and C lie on the same line. Work out k k = 2

2. The triangle has an area of 15 unit 2. The point P is directly above the midpoint M. Find the coordinates of P. P is (10.5, 8)

3. All the lines are joined at midpoints. Find the coordinates of A A is (5.5, 6)

4. The vertices of a quadrilateral DEFG are D(3, -2), E(0, -3), F(-2, 3) and G(4,1). Find the length of each side of the quadrilateral. What type of quadrilateral is DEFG? Hint: A sketch will help! DE = √10 EF = √40 FG = √40 GD = √10 It’s a kite

5. M(5, 7) is the mid-point of the line segment joining A(3, 4) to B. Find the co-ordinates of B. Hint: A sketch will help! B is (7, 10)

6. The vertices of a quadrilateral PQRS are P(1,2), Q(7, 0), R(6, -4) and S(-3, -1). Find the gradient of each side of the quadrilateral. What type of quadrilateral is PQRS? Hint: A sketch will help! Gradient PQ is -⅓ Gradient QR is 4 Gradient RS is -⅓ Gradient SP is ¾ It’s a trapezium