Transformations (Translations, Rotations & Reflections)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates of a point change based on the direction and distance of the translation.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

How many degrees can a figure be rotated?

Back

A figure can be rotated by any angle, commonly 90, 180, or 270 degrees.

Front

What is a reflection in geometry?

Back

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

Front

What changes when a figure is reflected over the x-axis?

Back

The y-coordinates of the points change sign.

Front

If point A (2, 3) is translated left 4 and down 2, what are the new coordinates?

Back

The new coordinates are (-2, 1).

Front

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

Back

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