A translation is what occurs when we move an object or shape from one place to another without changing its size, shape or orientation. Sometimes called a slide, a translation moves every point on an object or shape the same distance in the same direction.
To identify and describe a translation
Describe the translation from the preimage A to the image B.
Think: First, we need to look for corresponding points on the preimage and image. Next we need to identify the direction the preimage was moved. Finally, we need to state how far it moved in each direction.
So the translation from A to B is 3 units left.
Reflect: If we know how we got from A to B, can we quickly determine how to go from B back to A?
This applet shows the translation of an object to its image. You can use the sliders to change the horizontal and vertical amounts.
What is the translation from triangle $B$B to triangle $A$A?
What is the translation from square $B$B to square $A$A?
What is the translation from quadrilateral A to quadrilateral B?
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.