2.2 Translations_6Short

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you represent a translation mathematically?

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

Back

This translation indicates moving 3 units to the left and 2 units up.

Front

If point P(2, 3) is translated using (x, y) -> (x + 4, y - 1), what are the new coordinates?

Back

The new coordinates of point P' are (6, 2).

Front

What is the effect of the translation (x, y) -> (x, y - 5)?

Back

This translation moves a point 5 units down.

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, add the translation values to the original coordinates: (x + a, y + b).

Front

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

Back

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

Front

If triangle A(1, 2), B(3, 4), and C(5, 6) are translated by (x, y) -> (x - 1, y + 2), what are the new coordinates of point A?

Back

The new coordinates of point A' are (0, 4).

Front

What is the result of translating point Q(0, 0) 6 units up and 3 units to the right?

Back

The new coordinates of point Q' are (3, 6).

Front

What does the translation (x, y) -> (x + 5, y) mean?

Back

This translation means moving a point 5 units to the right without changing its vertical position.