Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you translate a point (x, y) 2 units to the right and 3 units up?

Back

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

Front

What happens to the coordinates of a shape when it is translated 5 units down?

Back

The y-coordinates decrease by 5.

Front

If triangle A'B'C' is translated to triangle ABC by moving 4 units left and 2 units down, what is the translation rule?

Back

(x, y) --> (x - 4, y - 2)

Front

When translating a shape, which coordinate is affected by horizontal movement?

Back

The x-coordinate.

Front

What does it mean to translate a shape 3 units to the left?

Back

It means to subtract 3 from the x-coordinate of every point in the shape.

Front

If a shape is translated 6 units to the right and 4 units down, what is the resulting translation rule?

Back

(x, y) --> (x + 6, y - 4)

Front

What is the effect of a translation on the size of a shape?

Back

A translation does not change the size or shape; it only changes the position.

Front

How do you express a translation that moves a shape 2 units up?

Back

(x, y) --> (x, y + 2)

Front

What is the translation rule for moving a point (3, 4) to (5, 7)?

Back

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