CK-12 Geometry-Concepts

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

(x,y)→(x− 2 ,y+ 3 )

S( 1 , 2 )→S′(− 1 , 5 )

Q( 4 , 1 )→Q′( 2 , 4 )

R( 5 , 4 )→R′( 3 , 7 )

E( 2 , 5 )→E′( 0 , 8 )

Example B

Name the vector and write its component form.

The vector is

⇀

DC. From the initial pointDto terminal pointC, you would move 6 units to the left and 4 units up.

The component form of

⇀

DCis〈− 6 , 4 〉.

Example C

Name the vector and write its component form.

The vector is

⇀

EF. The component form of

⇀

EFis〈 4 , 1 〉.

Watch this video for help with the Examples above.

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/52452

CK-12 Foundation: Chapter12TranslationsB