chapter 1.2
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Chapter 1.2Distance Formula and Translations
04/19/23
D (3,5)
F(7,2)
B(3,2)
Look Familiar???
D (3,5)
F(7,2)B(3,2)
4
3?
Formula:
2 22 1 2 1( ) ( )d x x y y
Distance formula:
d = ( )2 + ( )2
04/19/23
11.31
Find the distance between the points P(-2, -5) and Q (-10, 3).
1, 1( )x y 2, 2( )x y
2 22 1 2 1( ) ( )d x x y y
2 53
8
d 64
65 d
-10
-8
64
128
d = ( )2 + ( )2
d = ( )2 + ( )2
Find the distance between the points P(-3, 2) and Q (-2, 4).1, 1( )x y 2, 2( )x y
2 22 1 2 1( ) ( )d x x y y
2 3 24
1 2
d 1 4
5 d 2.24
Do powers before doing the addition!!!!!!
Work inside parentheses
d = ( )2 + ( )2
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 iscalled 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)
Try It On Your Own