Chapter 1.2 Distance Formula and Translations 1/13/2016

D (3,5) F(7,2) B(3,2)

Look Familiar??? D (3,5) F(7,2) B(3,2) 4 3 ?

Formula: Distance formula: d = ( ) 2 + ( ) 2 1/13/2016

11.31 Find the distance between the points P(-2, -5) and Q (-10, 3) d = ( ) 2 + ( ) 2

Find the distance between the points P(-3, 2) and Q (-2, 4) Do powers before doing the addition!!!!!! Work inside parentheses d = ( ) 2 + ( ) 2

Geometry Transformations A transformation is the mapping, or movement, of all the points of a figure in a plane according to a common operation. A rigid motion is a transformation of points in space. 4/15/2011

Translation A transformation slides points the same distance and in the same direction The original figure is called the pre-image. The new figure created from the translation is called the image. pre-image image

Line segment PJ is horizontally translated (-10,0) Then Translate P’J’ (0,-8) How far would P”J” need to translate back to starting position? P J P’ J’

(2,3) (8,10) (-8,3) (-2,10) (-8,-5) (-2,2)

(10, -5)(-8, -3)

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