The document outlines the objectives of a lesson on geometric translations, explaining that students will learn to recognize geometric transformations and understand the concept of translation. It details the process of finding the image of a point after translation using specific formulas and provides examples of points being translated on a coordinate plane. Additionally, the document illustrates how to draw a rectangle and find its image by applying translation.

1. Geometric translations
( Translation )
Math Department

2. Objectives:
At the end of this lesson students will be able to :
1) Recognize the geometric transformations.
2) Recognize the meaning of translation .
3) Find the image of each point by translation .

3. Geometric transformation :
change the position of a figure that means it makes
the figure moving from one place to another
There are three basic geometric transformations
Reflection Translation Rotation

4. Is geometric translation which slide a
shape from place to another place
Translation :
Image = Point + Translation
Translation = Image − Point
Point = Image – Translation

5. The image of A ( -4 , 3 )
is A´ ( -4 + 2 , 3 – 3 )
Find the image of AB where A( -4 , 3 ) , B( 2 , 0 )
By translation ( X, y ) ( X + 2 , y – 3 )
A
B´
A´
A ´ = ( -2 , 0 )
The image of B ( 2 , 0 )
is B´ ( 2+ 2 , 0 – 3 )
B ´ = ( 4 , -3 )
B

6. On a square latice draw the rectangle A ( 4 , 3 ) ,B( 4 , 1 ) ,
c( 1 , 1 ) and D( 1 , 3 ) then find its image by the translation
( -2 , -3)
A
B
C
The image by translation
- (
2
- ,
3
)
The point
A ´ = ( 2 , 0 ) A( 4 , 3 )
B ´ = ( 2 , - 2 ) B( 4 , 1 )
C´ = ( -1 , - 2 ) C( 1 , 1 )
D´ = ( -1 ,0 ) D( 1 , 3 )
D
D´
C´ B´
A´