Translations of geometric figures

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you represent a translation algebraically?

Back

A translation can be represented as (x, y) --> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the translation (x + 3, y - 2) do to a point?

Back

It moves the point 3 units to the right and 2 units down.

Front

If a triangle is translated 4 units left and 3 units up, what is the algebraic representation?

Back

(x, y) --> (x - 4, y + 3)