Exploring Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including rotation, reflection, and translation.

Front

What is reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line over which a figure is flipped during a reflection transformation.

Front

What is rotation in geometry?

Back

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

Front

What is translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape, making it larger or smaller.

Front

What is the effect of a rigid transformation on the size of a figure?

Back

The image remains the same size as the original figure.

Front

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

Back

The y-coordinates of the points of the figure change sign, while the x-coordinates remain the same.

Front

Back

Front

What is the result of two consecutive reflections over the same line?

Back

The figure returns to its original position.