Translations, Reflections, and Rotations

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

What happens to the coordinates of a point when it is translated 3 units to the right and 2 units up?

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

What happens to the coordinates of a point when it is reflected across 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 new coordinates of point A(2, 3) after a 90° clockwise rotation around the origin?

Back

A' (3, -2).

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

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

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

If a triangle is reflected over the y-axis, what happens to its x-coordinates?

Back

The x-coordinates change sign, becoming -x.

Front

What is the transformation that moves a shape without changing its size or orientation?

Back

Translation.