CK-12 Geometry Concepts

(Elliott) #1

12.3. Geometric Translations http://www.ck12.org



  1. What is the image ofA′′?

  2. PlotA,A′,A′′, andA′′′from the questions above. What do you notice? Write a conjecture.


The vertices of 4 ABCareA(− 6 ,− 7 ),B(− 3 ,− 10 )andC(− 5 , 2 ). Find the vertices of 4 A′B′C′, given the translation
rules below.


9.(x,y)→(x− 2 ,y− 7 )
10.(x,y)→(x+ 11 ,y+ 4 )
11.(x,y)→(x,y− 3 )
12.(x,y)→(x− 5 ,y+ 8 )

In questions 13-16, 4 A′B′C′is the image of 4 ABC. Write the translation rule.


13.
14.
15.
16.

For questions 17-19, name each vector and find its component form.


17.
18.
19.


  1. The coordinates of 4 DEFareD( 4 ,− 2 ),E( 7 ,− 4 )andF( 5 , 3 ). Translate 4 DEFusing the vector〈 5 , 11 〉and
    find the coordinates of 4 D′E′F′.

  2. The coordinates of quadrilateralQUADareQ(− 6 , 1 ),U(− 3 , 7 ),A( 4 ,− 2 )andD( 1 ,− 8 ). TranslateQUAD
    using the vector〈− 3 ,− 7 〉and find the coordinates ofQ′U′A′D′.

Free download pdf