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When a car travels to North Shore does it change
size?
Translation
Translation – Movement of an object a fixed distance in a given direction with the same orientation; images of a translation are congruent (same shape and size)
Vocabulary
Some days I need a
translation with my wife.
This is talking about math not
language.
The arrow has translated (moved) to the right and
down
Can you explain what is a translation?
It is just a movement in one direction.
Now translate that figure by
Draw a polygon with three points.
5
-5
-5
5
A
B
C
A
B
C
Explain how you would do that.
Move each point on the figure horizontally
positive 5 and vertically negative 2.
(𝒙+𝟓 , 𝒚−𝟐 )
Add 5 to the “x” and subtract 2 from the “y”
in each coordinated pair
The new point is call a “prime” of
the original.
5
-5
-5
5
A
B
C
A’
B’
C’
A B C
−𝟒+𝟓=𝟏𝒂𝒏𝒅𝟑−𝟐=𝟏−𝟐+𝟓=𝟑𝒂𝒏𝒅𝟒−𝟐=𝟐𝟎+𝟓=𝟓𝒂𝒏𝒅𝟑−𝟐=𝟏
That is right, our points are “A prime”,
“B prime” and “C prime”.
A’ A’
B’ C’ This mark
denotes “prime”.
(𝒙+𝟓 , 𝒚−𝟐 )
We will translate the second polygon .
The next new point is call a “ double prime”.
5
-5
-5
5
A
B
C
A’
B’
C’
A’ B’ C’
𝟏−𝟒=−𝟑𝒂𝒏𝒅𝟏−𝟑=−𝟐𝟑−𝟒=−𝟏𝒂𝒏𝒅𝟐−𝟑=−𝟏𝟓−𝟒=𝟏𝒂𝒏𝒅𝟏−𝟑=−𝟐
A”
This mark denotes “
double prime”.
A”
B” C”
A”
B”
C”
Exit QuestionsWhat is a translation?
A movement of an object a fixed distance
How do you denote the rules of a translation?
The “x” & “y” values of an ordered paired are added or subtracted a certain amount.
Why do you call the new point “prime”?
To distinguish the new image from the original figure
Math Monkey
E-mail me with suggestion and comments
If you are not a Math Monkey then you are a chimp.
