Translations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

How do you represent a translation mathematically?

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 does the transformation (x, y) -> (x + 2, y - 3) indicate?

Back

This transformation indicates a slide right 2 units and down 3 units.

Front

If point P is at (3, 4), where will it be after translating 2 units to the right and 8 units down?

Back

Point P will be at (5, -4) after the translation.

Front

What is the result of translating point J from (0, 0) to J' by moving 5 units left and 2 units up?

Back

Point J' will be at (-5, 2).

Front

What does the transformation (x, y) -> (x, y + 4) mean?

Back

This transformation means to slide up 4 units.

Front

How do you translate triangle A'B'C' to triangle ABC if the coordinates of A' are (1, 1), B' are (2, 2), and C' are (3, 3)?

Back

You would translate by (x - 2, y - 1) to move to triangle ABC.

Front

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

Back

The shape will move straight up by 5 units without any horizontal movement.

Front

If a point is translated 3 units left and 4 units down, what is the new position of point (2, 5)?

Back

The new position will be (-1, 1).

Front

What is the translation rule for moving a point from (x, y) to (x + 2, y - 9)?

Back

The translation rule is to move 2 units to the right and 9 units down.