Translations, Reflections & Rotations

Front

What is a translation in geometry?

Back

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

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

If point A(3, 4) is reflected over the y-axis, what are the coordinates of A'?

Back

A'(-3, 4) because the x-coordinate changes sign.

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to a pre-image.

Front

If a rectangle is rotated 90º counterclockwise about the origin, how do the coordinates change?

Back

The new coordinates (x, y) become (-y, x).

Front

What is the effect of a 180º rotation on a point (x, y)?

Back

The coordinates change to (-x, -y).

Front

If triangle ABC with vertices A(1, 2), B(3, 4), and C(5, 6) is reflected over the x-axis, what are the new coordinates?

Back

A'(1, -2), B'(3, -4), C'(5, -6).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.