1.1 The Cartesian Plane Ex. 1 Shifting Points in the Plane 2 2 2 4 -2 Shift the triangle three units to the right and two units up. What are the three.

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Presentation transcript:

1.1 The Cartesian Plane Ex. 1 Shifting Points in the Plane Shift the triangle three units to the right and two units up. What are the three new ordered pairs? -

The Distance Formula y1y2y1y2 x 1 x 2 What is the distance from x 1 to x 2 ? And from y 1 to y 2 ? d Write the pythagorean equation with the given sides. d 2 = (x 2 -x 1 ) 2 + (y 2 -y 1 ) 2

Ex. 2Find the distance between (-2,1) and (3,4) The Midpoint Formula Ex. 3 Find the midpoint of the points in Ex. 2

Ex. 4Find x so that the distance between (x,3) and (2,-1) is 5. Square both sides. Take all to the same side and factor. x = -1 and 5 (5,3) and (-1,3) are the two solutions.