Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the three main types of transformations?

Back

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

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 (x, y) when it is translated 6 units up?

Back

The new coordinates will be (x, y + 6).

Front

Define reflection in geometry.

Back

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

Front

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

Back

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

Front

Define rotation in geometry.

Back

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

Front

What is the effect of a 90 degrees clockwise rotation on a point (x, y)?

Back

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

Front

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

Back

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

Front

What is the effect of a 90 degrees counterclockwise rotation on a point (x, y)?

Back

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