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 without changing its size, shape, or orientation.

Front

When translating a shape up or down, which coordinate is affected?

Back

The y-coordinate is affected.

Front

What happens to the coordinates of a point when it is translated 3 units to the right and 2 units up?

Back

The new coordinates will be (x + 3, y + 2).

Front

If a point (a, b) is translated 5 units down, what is the new coordinate?

Back

The new coordinate will be (a, b - 5).

Front

How do you represent a translation of 4 units left and 3 units down in coordinate notation?

Back

The translation can be represented as (x, y) → (x - 4, y - 3).

Front

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

Back

The shape will move 5 units up or down without changing its horizontal position.

Front

If trapezoid ABCD is translated 8 units down and 5 units to the right, what is the new position of point A if it was originally at (2, 3)?

Back

The new position of point A will be (2 + 5, 3 - 8) = (7, -5).

Front

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

Back

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

Front

If a point (x, y) is translated 6 units to the left, what is the new x-coordinate?

Back

The new x-coordinate will be x - 6.

Front

What is the result of translating the point (-9, 3) 4 units down and 3 units right?

Back

The result is (-9 + 3, 3 - 4) = (-6, -1).