Translations, Reflections, & Rotations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 3 units right and 2 units down?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the x-axis?

Back

The new coordinates will be (x, -y).

Front

What is a rotation in geometry?

Back

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

Front

What are the coordinates of point A(2, 3) after a 90° rotation counterclockwise about the origin?

Back

The new coordinates will be (-3, 2).

Front

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

Back

The new coordinates will be (-x, y).

Front

If point B(4, -1) is translated 5 units left and 2 units up, what are the new coordinates?

Back

The new coordinates will be (-1, 1).

Front

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

Back

The new coordinates will be (-x, -y).

Front

How do you find the image of a point after a reflection over the line y = x?

Back

The new coordinates will be (y, x).