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

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Presentation transcript:

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

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

Distance between two points. In general, x1x1 x2x2 y1y1 y2y2 A(x 1,y 1 ) B(x 2,y 2 ) Length = x 2 – x 1 Length = y 2 – y 1 AB 2 = (y 2 -y 1 ) 2 + (x 2 -x 1 ) 2 Hence, the formula for Length of AB or Distance between A and B is y x

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

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

The mid-point of two points. x1x1 x2x2 y1y1 A(5,3) B(18,17) Look at it’s horizontal length Look at it’s vertical length Mid-point of AB y x y2y2 Formula for mid-point is