Translations

z q c x p y d cd Translations

a b c d ab cd Translation A translation moves every point the same distance in the same direction

p b q c d a xy pq y x

b d a c xy y The image of a line segment under a translation is an equal and parallel line segment x

p q pq The image of a triangle under a translation is a congruent triangle

maps xyz  ypq xy xy xy maps x  y y  p z  q z q x p y

maps abcd  befc ab ab ab a b e c f d a  b b  e c  f d  c

maps abcd  dcgh ac ac ac a b a  d b  c d c c  g d  h g h

a a b b c c d d e e f f m n maps [dm]  [en] ab ab ab ab m  n m n d  e m  n

a b c d e f a b c m n maps adm  ben maps abed  bcfe d e f ab ab ab ab ab a  b d  e m  n m n a  b b  c e  f d  e

a a b b c c d d e e f f m n maps [dm]  [en] maps  bde   cef ab ab ab ab ab b  c d  e m n e f a  b e  f