Distance between 2 points Mid-point of 2 points

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Presentation transcript:

Distance between 2 points Mid-point of 2 points COORDINATE GEOMETRY Distance between 2 points Mid-point of 2 points

Distance between two points. y Using Pythagoras’ Theorem, B(18,17) AB2 = (18 - 5)2 + (17 - 3)2 17 AB2 = 132 + 142 17 – 3 = 14 units 3 A(5,3) 18 – 5 = 13 units x 5 18

Distance between two points. In general, y B(x2,y2) AB2 = (y2-y1)2 + (x2-x1)2 y2 Hence, the formula for Length of AB or Distance between A and B is Length = y2 – y1 y1 A(x1,y1) Length = x2 – x1 x x1 x2

Find the distance between the points (-1,3) and (2,-6) Simply by using the formula: (-1,3) and (2,-6) (x1,y1) and (x2,y2) Since = 9.49 units (3 sig. fig)

The mid-point of two points. Look at it’s horizontal length y Mid-point of AB B(18,17) 17 = 11.5 (11.5, 10) Look at it’s vertical length 10 3 A(5,3) 11.5 = 10 x 5 18

The mid-point of two points. Look at it’s horizontal length y B(18,17) Mid-point of AB y2 Look at it’s vertical length Formula for mid-point is y1 A(5,3) x x1 x2