Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain 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, b) are the horizontal and vertical shifts.

Front

What does it mean to translate a point 3 units left and 1 unit up?

Back

It means to subtract 3 from the x-coordinate and add 1 to the y-coordinate of the point.

Front

If a point A is at (2, 3), where is A' after translating 3 units right and 4 units down?

Back

A' is at (5, -1).

Front

What is the effect of translating a shape 0 units horizontally and 5 units down?

Back

The shape will move straight down by 5 units without changing its horizontal position.

Front

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

Back

Add the translation vector to the original point's coordinates.

Front

What is the translation vector for moving a point 2 units left and 3 units up?

Back

The translation vector is (-2, 3).

Front

If Point B is at (-1, 2) and is translated 4 units down, what are the coordinates of B'?

Back

B' is at (-1, -2).

Front

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

Back

The x-coordinate increases by 5 and the y-coordinate increases by 2.

Front

How do you describe the translation of a quadrilateral EFGH to E'F'G'H'?

Back

You describe it by stating the horizontal and vertical shifts, e.g., '6 units down and 3 units left'.