# The Distance and Midpoint Formulas - Quia The Distance and Midpoint Formulas Algebra 1 Lesson Goals I can calculate the distance between to points on a coordinate

plane I can calculate the mid-point of a line segment Distance Formula Used to find the distance between two points 2

distance ( x2 x1 ) ( y2 y1 ) 2 Distance Formula is related to Pythagorean Theorem

Take a Closer Look Example Find the distance between A(4,8) and B(1,12) A (4, 8)

B (1, 12) 2 distance ( x2 x1 ) ( y2 y1 ) 2 distance (1 4) (12 8) 2 distance ( 3) (4)

2 2 distance 9 16 25 5 2 YOU TRY!!

Find the distance between: A. (2, 7) and (11, 9) 2 2 (9) (2) 85

B. (-5, 8) and (2, - 4) 2 2 (7) ( 12) 193 Midpoint Formula Used to find the center of a line

segment x2 x1 y2 y1 midpoint , 2 2 Example

Find the midpoint between A(4,8) and B(1,12)A (4, B (1, 12) 8) x2 x1 y2 y1 midpoint , 2

2 1 4 12 8 midpoint , 2 2 midpoint 5 ,10

2 YOU TRY!! Find the midpoint between:

A) (2, 7) and (14, 9) midpoint = 8,8 B)

(-5, 8) and (2, - 4) -3 midpoint = , 2 2 Distance Formula Check it

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