Distance in Coordinate Geometry Brought to you by characters of The Family Guy *IF VIEWING FOR PORTFOLIO, MAKE SURE TO VIEW THESE SLIDES AS A PRESENTATION

Chris is late for school and has quite the distance to go. X X

X Chris calls his dad Peter, who is watching TV. After politely asking his son why he was running late and reiterating the importance of a good education, Peter agrees to help get him there. The only question… X Or by Plane By car

“As the crow flies” – the shortest distance between two points. 2.5 mi Rise X 0.5 mi 2.55 mi = c Run

AB = 14.4 Rise Run (9, 9) AB2 = ( )2 + ( )2 x2 – x1 y2 – y1 B (1, -3)

Distance from point A to B AB2 = ( a )2 + ( b )2 x2 – x1 y2 – y1 Distance from point A to B (1, 3) B (-5, -5) A

Is the triangle GHI Scalene, Isosceles, or Equilateral??

Use the distance formula to write and equation for the circle. (x, y) (x, y) 2 ( )2 3 2 3 3 3 r (2, 3) (2, 3) (h, k) Radius squared Can we write the equation of a circle with center at (h,k) and radius r ? Equation of a Circle

Equation of a Circle (3, -2) 8

Given the equation of the circle, find the center of the circle and the length of the radius. / Equation of a Circle r (h, k) 13^2 = 169 x – (-3) (h, k) = (-3, 4)

Assignment: Pg 510, 1 - 12