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Chapter 1.2

11/19/2014. Chapter 1.2. Distance Formula and Translations. D (3,5). F(7,2). B(3,2). Look Familiar???. D (3,5). ?. 3. F(7,2). B(3,2). 4. d = ( ) 2 + ( ) 2. 11/19/2014. Formula:. Distance formula:. d = ( ) 2 + ( ) 2.

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Chapter 1.2

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  1. 11/19/2014 Chapter 1.2 Distance Formula and Translations

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

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

  4. d = ( )2 + ( )2 11/19/2014 Formula: Distance formula:

  5. d = ( )2 + ( )2 d = ( )2 + ( )2 Find the distance between the points P(-2, -5) and Q (-10, 3). -10 -8 64 11.31 128

  6. d = ( )2 + ( )2 d = ( )2 + ( )2 Find the distance between the points P(-3, 2) and Q (-2, 4). Work inside parentheses Do powers before doing the addition!!!!!! 2.24

  7. 4/15/2011 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.

  8. 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. image pre-image

  9. 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? J’ J P P’

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

  11. (10, -5) (-8, -3)

  12. Try It On Your Own

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