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 represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a point (2, 3) is translated 3 units left and 2 units down, what is the new position?

Back

(2 - 3, 3 - 2) = (-1, 1)

Front

What does it mean to translate a shape 5 units to the right?

Back

It means to move every point of the shape 5 units in the positive x-direction.

Front

What is the effect of translating a shape 0 units vertically?

Back

The shape remains in the same horizontal position; only the horizontal position may change.

Front

If triangle A(1, 2) is translated by the rule (x + 3, y - 4), what are the coordinates of A' after translation?

Back

A'(1 + 3, 2 - 4) = (4, -2)

Front

What is the translation rule for moving a shape 2 units up and 3 units left?

Back

The translation rule is (x - 3, y + 2).

Front

How do you find the new coordinates after a translation?

Back

Add the translation values to the original coordinates: New x = original x + horizontal shift, New y = original y + vertical shift.

Front

If a shape is translated down 6 units, what is the vertical change in coordinates?

Back

The vertical change is -6, meaning you subtract 6 from the y-coordinate.

Front

What is the translation of a point (5, 5) to (2, 1)?

Back

The translation is (x - 3, y - 4).