Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape the same 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 + 2, y - 3) indicate?

Back

This translation indicates moving 2 units to the right and 3 units down.

Front

If a point (x, y) is translated 3 units to the left, what is the new x-coordinate?

Back

The new x-coordinate will be x - 3.

Front

What is the effect of translating a point 4 units up?

Back

The new y-coordinate will be y + 4.

Front

If point A(1, 2) is translated using the rule (x, y) -> (x + 5, y), what are the new coordinates?

Back

The new coordinates of point A' will be (6, 2).

Front

What is the result of translating point B(-2, 3) 1 unit to the right and 2 units down?

Back

The new coordinates of point B' will be (-1, 1).

Front

How do you find the coordinates of a point after a translation?

Back

To find the new coordinates, apply the translation rule to the original coordinates.

Front

What does the transformation (x, y) -> (x, y + 4) mean?

Back

This transformation means to slide the point 4 units up.

Front

If point C(0, 0) is translated 2 units left and 3 units up, what are the new coordinates?

Back

The new coordinates of point C' will be (-2, 3).