1. Tuesday, December 04, 2018
Geometry Revision!

2. Distance between two points
2.Gradient of a line

3. 3.Parallel and Perpendicular lines

4. Example
Two points are plotted at A(1, –3) and B(4, 9). Find
(i) the distance between the two points
(ii) the gradient of the line AB
(iii) the gradient of the line perpendicular to AB.

5. 4.Midpoint between to two points

6. 5.Equation of a line

7. Example
Obtain the gradient of the line which passes through the points (-1, -4) and (4, 6)

8. Example
Find the equation of the straight line passing through the points (-1, 4) and (1, -2)

9. 6. Intersection of two lines
Example
Solve the following simultaneous equations by means of substitution and drawing the graph. a) b)

10. A level past paper question1
The Points A, B and C have coordinates (6, 6), (3, 5), (7, 3), respectively. The mid-point of BC is D. The line through B parallel to AC meets AD at E.
Show that the equation of AD is
And find the equation BE.
b) Show that E has coordinates (4, 2)
c) Show that BE and EC are perpendicular
d) Find the area of triangle BEC.