Transformations (2024 - Next Gen)

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 four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define rotation in geometry.

Back

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

Front

What does a 90 degrees clockwise rotation do to a point (x, y)?

Back

A 90 degrees clockwise rotation transforms the point (x, y) to (y, -x).

Front

What does a 90 degrees counterclockwise rotation do to a point (x, y)?

Back

A 90 degrees counterclockwise rotation transforms the point (x, y) to (-y, x).

Front

How does a 180 degrees rotation affect a point (x, y)?

Back

A 180 degrees rotation transforms the point (x, y) to (-x, -y).

Front

What is reflection in geometry?

Back

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

Front

What is the line of reflection for a point (x, y) reflected over the y-axis?

Back

The line of reflection is the y-axis, and the point (x, y) becomes (-x, y).

Front

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

Back

To find the image of a point (x, y) after reflection over the line x = k, use the formula: (2k - x, y).

Front

What is a translation in geometry?

Back

Translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.