Coordinate Geometry (Cambridge O Level Maths)

A is the point (7, 2) and B is the point (−5, 8).

Calculate the length of AB.

A rhombus has a diagonal where is the point  and C is the point 

Calculate the length

The coordinates of P are  and the coordinates of Q are .

Calculate the length PQ.

is the point and is the point .

Calculate the length of  

Find the co-ordinates of the midpoint of  
 

( ..................... , ..................... )

is the point and is the point .

Find the length of .

C is the point (8, 14).

Calculate the length of AC.

Find the co-ordinates of the mid-point of BC.
 

( ..................... , ......................) 

Calculate the length of AB.

The graphs of and  intersect at A and B.
 
Find the length of AB.
 

AB = ................................................

A triangle has vertices  and .

The coordinates of  are (—3, —6)
The coordinates of  are (1, 4)
The coordinates of  are (5, —2)

 is the midpoint of .
 is the midpoint of .

Prove that  is parallel to .
You must show each stage of your working.

The diagram shows a line joining  to .

The gradient of the line is 2

The length of the line is 

Work out the coordinates of 

A straight line goes through the points () and (), where

Find the gradient of the line.