Transformations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation algebraically?

Back

(x + a, y + b)

Front

What does the notation (x, y) --> (x + 4, y - 9) indicate?

Back

A translation of 4 units to the right and 9 units down.

Front

What is the effect of translating a point (x-2, y + 6)?

Back

The figure will move 2 units left and 6 units up.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What does reflection across the y-axis do to a point (x, y)?

Back

It transforms the point to (-x, y).

Front

What is the result of reflecting a point (3, 4) across the x-axis?

Back

The point becomes (3, -4).

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation.

Front

What does a 90° counterclockwise rotation do to a point (x, y)?

Back

It transforms the point to (-y, x).

Front

What is the difference between translation and reflection?

Back

Translation moves a figure without changing its orientation, while reflection flips it over a line.