Translations

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

When translating up or down on a coordinate plane, which coordinate is affected?

Back

y-coordinate

Front

When translating left or right on a coordinate plane, which coordinate is affected?

Back

x-coordinate

Front

What does the transformation (x, y) --> (x + a, y) represent?

Back

A translation to the right by 'a' units.

Front

What does the transformation (x, y) --> (x, y + b) represent?

Back

A translation up by 'b' units.

Front

What does the transformation (x, y) --> (x - a, y) represent?

Back

A translation to the left by 'a' units.

Front

What does the transformation (x, y) --> (x, y - b) represent?

Back

A translation down by 'b' units.

Front

Identify the translation from ABC to A'B'C' if A(2,3) moves to A'(10,7).

Back

(x + 8, y + 4)

Front

If a point (x, y) is translated to (x + 4, y - 2), what is the direction of the translation?

Back

4 units to the right and 2 units down.

Front

What is the effect of translating a shape 5 units up?

Back

All points of the shape move 5 units in the positive y-direction.