Geometry 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 describe a translation of 4 squares right and 5 squares down?

Back

The figure is moved 4 units to the right and 5 units down from its original position.

Front

What is the algebraic notation for translating a point (x, y) 2 units right and 3 units down?

Back

(x, y) --> (x + 2, y - 3)

Front

If a point moves from (3, 4) to (7, 4), what type of transformation occurred?

Back

A translation of 4 units to the right.

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation where 'a' is the horizontal movement and 'b' is the vertical movement.

Front

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

Back

The figure moves straight up by 5 units.

Front

If a triangle is translated 3 units left and 2 units down, what is the new position of the point (5, 6)?

Back

The new position is (2, 4).

Front

What happens to the shape and size of a figure during a translation?

Back

The shape and size remain unchanged during a translation.

Front

How can you visually represent a translation on a coordinate plane?

Back

By drawing arrows from the original points to their new positions after the translation.

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a fixed point.