Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain 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

If a point (x, y) is translated to (x + 3, y - 2), what does this mean?

Back

This means the point moves 3 units to the right and 2 units down.

Front

What are the coordinates of point A(4, 9) after the translation (x, y) -> (x + 4, y - 3)?

Back

The new coordinates will be (8, 6).

Front

What is the effect of the translation (x, y) -> (x - 1, y + 2) on point B(1, 7)?

Back

Point B will move to (0, 9).

Front

If triangle ABC has vertices A(6, 1), B(1, 7), and C(-3, -2), what are the new coordinates after the translation (x, y) -> (x - 1, y + 2)?

Back

The new coordinates will be A'(5, 3), B'(0, 9), C'(-4, 0).

Front

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

Back

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

Front

If an image is translated left 5 units, how is this represented algebraically?

Back

This is represented as (x, y) -> (x - 5, y).

Front

What happens to point A(4, 9) when translated by (x, y) -> (x + 4, y - 3)?

Back

Point A moves to (8, 6).

Front

What is the translation rule for moving a point 3 units up and 2 units to the right?

Back

The translation rule is (x, y) -> (x + 2, y + 3).