Translations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation algebraically?

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

If a point (x, y) is translated 3 units to the right and 2 units up, what is the new position?

Back

(x + 3, y + 2)

Front

What happens to the coordinates of a point when it is translated 4 units down?

Back

The y-coordinate decreases by 4.

Front

What is the effect of translating a point (5, -2) 6 units to the left?

Back

The new coordinates will be (-1, -2).

Front

If a point (2, 3) is translated 5 units to the right and 1 unit down, what are the new coordinates?

Back

(7, 2)

Front

What is the translation rule for moving a point 9 units right and 3 units down?

Back

(x, y) → (x + 9, y - 3)

Front

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

Back

Add the translation values to the original coordinates.

Front

If point A(1, 2) is translated to A'(4, 5), what is the translation vector?

Back

The translation vector is (3, 3).

Front

What is the result of translating the point (-3, 4) 2 units left and 5 units up?

Back

(-5, 9)