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

How do you describe a translation?

Back

A translation can be described using a vector, which indicates the direction and distance of the movement.

Front

What does the vector (4, 1) represent in a translation?

Back

The vector (4, 1) represents a translation of 4 units to the right and 1 unit up.

Front

If a shape is translated 3 units left and 2 units down, what is the vector representation?

Back

The vector representation is (-3, -2).

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, add the translation vector to the original coordinates.

Front

What is the result of translating the point (2, 3) by the vector (4, -1)?

Back

The new coordinates will be (2+4, 3-1) = (6, 2).

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 point A is at (1, 2) and is translated 3 units right and 4 units up, where is point A' located?

Back

Point A' will be at (1+3, 2+4) = (4, 6).

Front

What is the translation vector for moving a shape 5 units left and 3 units up?

Back

The translation vector is (-5, 3).

Front

How do you translate a shape on a coordinate plane?

Back

To translate a shape, move each vertex of the shape according to the translation vector.