Understanding Rotations and Transformations

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, by a certain angle in a specific direction.

Front

What does it mean to rotate a figure 90° clockwise?

Back

To rotate a figure 90° clockwise means to turn the figure 90 degrees to the right around the center of rotation.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

How do you determine the new coordinates of a point after a 90° clockwise rotation?

Back

For a point (x, y), the new coordinates after a 90° clockwise rotation are (y, -x).

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 is the line of reflection?

Back

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

Front

What is the difference between a reflection across the x-axis and the y-axis?

Back

A reflection across the x-axis changes the sign of the y-coordinate, while a reflection across the y-axis changes the sign of the x-coordinate.

Front

How do you perform a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates become (x, -y).

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a figure in some way, including rotations, reflections, translations, and dilations.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.