1. Co-ordinate Geometry Achievement Standard 2.5

2. The Co-ordinate Plane x y A B C (-4,4) (6,2) (-3,-2)

3. Distance Between 2 Points x y A B (-4,4) (6,2) a b c a 2 + b 2 = c 2 Problems

4. 1)Find the length of AC 2)Find the length of CD 3)ACE makes a triangle, Find the length of each side to show that it’s Scalene. 4)Show that CEF is an Isosceles Triangle. 5)Find the length of a line from (-3,-2) to (4,-1) 6*)Use Pythagoras to show that CBE is a right angled triangle. Page 129 ex16.2 Q2 onwards Distance Between 2 Points x y F E D C B A

5. Midpoint of 2 Points x y A B (-4,4) (6,2) -4+6, 4+2 2 2 ( ) = (1, 3) Average ‘x’Average ‘y’

6. 1)Find the midpoint of BE 2)Find the midpoint of AF 3)If DK is a straight line and C is the midpoint, What are the co-ordinates of K? 4)Show that E is the midpoint of BF. Page 127, ex 16.1 Midpoint of 2 Points x y F E D C B A

7. Gradient Between 2 Points x y A B (-4,4) (6,2) run rise Gradient = rise run Page 130 ex 16.3

8. Equation of a line x y C (-3,-2) Needs 2 things Gradient (Slope) = m Point on the line = (x 1, y 1 ) y - y 1 = m (x - x 1 ) 5 4 Page 134 ex 16.7 Page 135 ex 16.8 Page 136 ex16.10

9. Perpendicular line x y A (0,2) Needs 3 things Gradient (Slope of first line) = m Gradient of Perp. Line = m┴ Point on the line = (x 1, y 1 ) y - y 1 = m┴ (x - x 1 ) Y = 5/4 x + 2 4 5 BpBp (4,-2) Perpendicular slope is always -1/m Page 138 ex 16.11

10. Achieved Problems Distance between 2 points Midpoint of a line Equation of a line Equation of a parallel line

11. Merit problems Perpendicular Bisector Intersection of 2 lines Altitude of a triangle Median of a triangle