Coordinate Geometry

Question 1

When finding the distance between points you do what

Answer 1

Construct a triangle and use Pythagoras theorem

Question 2

To find the lengths of to find AC or BC you could use

Answer 2

AC = x2 - x1 
BC = y1 - y2

Question 3

Using Pythagoras theorem With a right angle triangle

Answer 3

AB 2 = (x2 - x1)2 + (y2 + y1)2

Question 4

The equation of finding the midpoint

Answer 4

(X1+X2),(Y1+Y2)

2. 2

Question 5

The gradient measures the

Answer 5

Steepness of a line

Question 6

The gradient is

Answer 6

Change in y / change in X

Question 7

And other way of weighting the formula is

Answer 7

(Y2 - Y1) / (X2 - X1)

Question 8

Parallels lines have the same

Answer 8

Gradient

Question 9

When two straight lines are perpendicular the product of their gradient is

Answer 9

-1

Question 10

General equation of a straight line is

Answer 10

Y = mx + c

Question 11

An different equation of a straight line is

Answer 11

Y - Y1 = (x - x1)

Question 12

The third equation of a straight line Is

Answer 12

AX + BY + C = 0

Question 13

When two lines are perpendicular the gradient is -1 the equation Is

Answer 13

M1 x Mab = -1

Question 14

The general equation of a circle centred on ( a, b) with a radius r is given by

Answer 14

(X - a)2 + ( Y - B)2 = r2

When simplified it’s
X2 + Y2 - 2ax - 2by + c = 0

Question 15

Or a different equation is

Answer 15

C = a2 + b2 - r2

Question 16

When you have a triangle going through the centre of the circle has a

Answer 16

Right angle