Translations

Front

What is a translation in geometry?

Back

A translation is a type of 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 is the rule for translating a point 3 units up and 2 units right?

Back

(x, y) -> (x + 2, y + 3)

Front

If a point M(-3, 5) is translated using the rule (x, y) -> (x - 1, y), what are the new coordinates?

Back

(-4, 5)

Front

What does it mean to translate a figure 5 units down?

Back

It means to decrease the y-coordinate of every point of the figure by 5.

Front

How do you translate a figure 8 units down and 5 units to the right?

Back

The rule is (x, y) -> (x + 5, y - 8).

Front

What is the effect of translating a point 0 units horizontally and 4 units vertically?

Back

The point will move 4 units up if positive, or 4 units down if negative.

Front

What is the translation rule for moving a point 6 units right and 5 units up?

Back

(x, y) -> (x + 6, y + 5)