What is similar about these objects?

1
What is similar about these objects?
What is being done to objects that are
translated?
2
What am I learning today?
Translations
What will I do to show that I learned it?
Determine coordinates resulting from a
translation.
3
Think of polygon ABCDE as sliding two inches to
the right and one inch down.  Its new position is
labeled A'B'C'D'E'.
A translation "slides" an object a fixed
distancein a given direction.  The original
object and its translation have the same shape
and size, and they face in the same direction. A
translation creates a figure that is congruent
with the original figure. 
                                                     
4
QUESTION
How are coordinates determined for a translation?
5
To translate
You must have - the translating ordered
pair. 1. Add the x-value from your pre-image
ordered pair to the x-value of the translating
ordered pair.
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• Add the y-value from your pre-image ordered
  pair to the y-value of the translating ordered
  pair.
• Careful of integer rules.

7
Example
Start (-4,3) Translating Pair (6,-8)
Finish x-values -4 6 2
y-values 3 -8 -5 (2,-5)
8
Graph the translation of quadrilateral ABCD using
the translating ordered pair (-4,-2)
A(-3,1) B(0,2) C(0,-1) D(-3,-3)
A(1,3) B(4,4) C(4,1) D(1,-1)
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Insert Lesson Title Here
Translate triangle ABC (-5,-3)
A(0,4) B(3,5) C(3,1)
A(-5,1) B(-2,2) C(-2,-2)
B
A
4
2
C
4
2
4
2
2
4
10
QUESTION
How do I determine the translating ordered pair?
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1. Choose any ONE of the objects vertices.
2. Subtract the pre-image coordinate from the image
   coordinate.
3. The difference is the translating ordered pair.

12
A(-3,1) B(-2,-2) C(0,-2)
A(0,5) B(1,2) C(3,2)
What is the translating pair for this slide?
(3,4)