Rotations of figures

Front

What are the four types of transformations in geometry?

Back

The four types of transformations are translations, reflections, rotations, and dilations.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

If a figure is rotated 90 degrees clockwise, how do the coordinates of a point (x, y) change?

Back

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

Front

What is the result of rotating a point (3, 4) 180 degrees about the origin?

Back

The new coordinates will be (-3, -4).

Front

What quadrant will a point in quadrant 1 end up in after a 180-degree rotation?

Back

It will end up in quadrant 3.

Front

What is the effect of a 270-degree clockwise rotation on a point (x, y)?

Back

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

Front

How do you determine the center of rotation for a figure?

Back

The center of rotation is the fixed point around which the figure rotates, which can be a point on the figure or outside of it.

Front

What is the difference between a rotation and a translation?

Back

A rotation turns a figure around a point, while a translation slides a figure from one position to another without changing its shape or orientation.

Front

What happens to the shape of a figure during a rotation?

Back

The shape and size of the figure remain unchanged during a rotation.

Front

If triangle ABC is rotated 90 degrees counterclockwise about the origin, what will happen to its orientation?

Back

The orientation of triangle ABC will change, but its shape and size will remain the same.