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1

## Distance Formula

D=v(x2-x1)² +(y2-y1)²

2

## Midpoint

(x1+x2/2 , y1+y2/2)

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## Gradient

m= y2-y1/x2-x1
m= Vertical distance
Horizontal Distance
m= tan?
Tan ? = opp/ adj

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## Special Gradients

A line goin up diagonally from left to right is a POSITIVE gradient
A line going down diagonally from left to right is a NEGATIVE gradient
A line parallel to the x-axis has no graduent ( y= a number)
A line parallel to the y-axis is an undefined

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## Vocab

PARRALLEL- two lines with equal gradients
COLLINEAR- Two lines with a point in common
PERPENDICULAR- Two lines which meet at right angles
MEDIAN- Straight line from a vertex meets the opposite side in the middle
ALTITUDE-straight line from a vert

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## Equations

Y=mx+c
Ax+By+C=0
y-b=m(x-a)

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## Calculating Perpendicular Bisectors

Step 1- Draw Diagram
Step 2- find the gradient of the line
Step 3- Find the perpendicular gradient
Step 4- Find midpoint
Step 5- Substitute into Equation
y-b=m(x-a)

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## Finding the equation of median

-Draw Sketch
-Find midpoint of opposite
-Find gradient of median
-sub into Equation (y-b=m(x-a))
-Tidy Up

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## Finding equation of an altitude

-Draw Sketch
-Find gradient of opposite side
-Find Perpendicular Gradient
-sub into equation (y-b=m(x-a))
-Tidy up

10

## More Vocab

CIRCUMCENTRE- Point of intersection of perpendicular bisectors
ORTHOCENTRE- Point of interection of altitudes
CENTEOID- Oint of intersection of medians

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