Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
4. Compositions of Isometries
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Exercise 37 Page 575

Note that △KJN and △ABC have the same orientation but different positions.

Transformation: Translation
Function Notation: T_(<- 11,-4>) (x,y)

Practice makes perfect

We will identify the mapping as a translation, reflection, rotation, or glide reflection. Then, we will write the rule for the transformation. Let's do it!

Identifying the Transformation

In the given diagram we want to identify the transformation that maps △KJN onto △ABC.

Note that △KJN and △ABC have the same orientation but different positions. Therefore, the transformation that maps △KJN onto △ABC is a translation.

Writing the Rule

In this case, if we translate △KJN 11 units to the left and then 4 units to down, we obtain △ABC.
We can say that the transformation that maps △KJN onto △ABC is a translation 11 units to the left and 4 units down. This can be written as T_(<- 11,- 4>) (x,y).