Translations

Front

What is a translation in geometry?

Back

A translation is a geometric 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

What does it mean to translate a figure 5 units down?

Back

Translating a figure 5 units down means subtracting 5 from the y-coordinate of each point in the figure.

Front

If a point M has coordinates (2, 3) and is translated 4 units to the right, what are the new coordinates?

Back

The new coordinates of point M would be (6, 3).

Front

What is the effect of translating a figure 0 units horizontally and 3 units vertically?

Back

The figure will move straight up by 3 units without any horizontal movement.

Front

How do you translate a triangle ABC to triangle A'B'C' if A' is 3 units left and 2 units up from A?

Back

You would translate triangle ABC by moving it 3 units left and 2 units up.

Front

What is the translation rule for moving a point (x, y) to (x + 2, y - 3)?

Back

The translation rule is: move 2 units to the right and 3 units down.

Front

If triangle A is at (1, 1), (2, 2), (3, 3) and is translated 1 unit left and 1 unit down, what are the new coordinates?

Back

The new coordinates will be (0, 0), (1, 1), (2, 2).

Front

What is the translation of point P(4, -2) using the rule (x, y) --> (x - 3, y + 5)?

Back

The new coordinates of point P will be (1, 3).

Front

How do you find the translation vector from point A(2, 3) to point A'(5, 7)?

Back

The translation vector is (5 - 2, 7 - 3) = (3, 4).