Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
4. Compositions of Isometries
Continue to next subchapter

Exercise 37 Page 575

Note that â–łKJN and â–łABC 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 â–łKJN onto â–łABC.

Note that â–łKJN and â–łABC have the same orientation but different positions. Therefore, the transformation that maps â–łKJN onto â–łABC is a translation.

Writing the Rule

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