Translations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a shape 5 units to the right and 2 units down?

Back

To translate a shape 5 units to the right and 2 units down, you add 5 to the x-coordinate and subtract 2 from the y-coordinate of each point of the shape.

Front

What is the effect of translating a shape left or right on a coordinate plane?

Back

Translating a shape left or right affects the x-coordinate of the points in the shape.

Front

What is the effect of translating a shape up or down on a coordinate plane?

Back

Translating a shape up or down affects the y-coordinate of the points in the shape.

Front

If a shape is translated according to the rule (x, y) → (x + 3, y + 2), how is the shape moved?

Back

The shape is moved 3 units to the right and 2 units up.

Front

What does the translation rule (x, y) → (x - 2, y) indicate?

Back

This rule indicates that the shape is moved 2 units to the left without any change in the y-coordinate.

Front

What is the translation of the point (2, 3) by the vector (5, -2)?

Back

The new point after translation is (2 + 5, 3 - 2) = (7, 1).

Front

What is the translation of the point (4, 5) to the left by 3 units and down by 2 units?

Back

The new point after translation is (4 - 3, 5 - 2) = (1, 3).

Front

If a shape is translated 4 squares right and 1 square up, what is the translation rule?

Back

The translation rule is (x, y) → (x + 4, y + 1).

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a fixed point.