Translations

Front

What is a translation in geometry?

Back

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

Front

If a point (x, y) is translated 3 units to the right, what is the new position?

Back

The new position is (x + 3, y).

Front

If a point (x, y) is translated 4 units down, what is the new position?

Back

The new position is (x, y - 4).

Front

What happens to the coordinates of a point when it is translated 2 units left and 5 units up?

Back

The new coordinates will be (x - 2, y + 5).

Front

What does it mean to translate a shape 3 units to the right and 2 units up?

Back

It means to move every point of the shape 3 units to the right and 2 units up from its original position.

Front

How do you represent a translation in coordinate notation?

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 effect of translating a shape on its size and orientation?

Back

A translation does not change the size or orientation of a shape; it only changes its position.

Front

If a point (1, 2) is translated 3 units right and 4 units up, what are the new coordinates?

Back

The new coordinates are (4, 6).

Front

What is the result of translating the point (-5, 0) 2 units left and 3 units down?

Back

The new coordinates are (-7, -3).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a shape without changing its orientation, while a rotation turns a shape around a fixed point.