Rotations

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 is the center of rotation?

Back

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

Front

How do you rotate a point 90° counterclockwise around the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Front

What are the coordinates of the point (3, 4) after a 180° rotation around the origin?

Back

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

Front

What happens to the coordinates of a point when it is rotated 270° counterclockwise?

Back

To rotate a point (x, y) 270° counterclockwise, the new coordinates will be (y, -x).

Front

If a triangle is rotated 360°, what happens to its position?

Back

The triangle returns to its original position.

Front

What is the result of rotating the point (2, -3) 90° clockwise around the origin?

Back

The new coordinates will be (-3, -2).

Front

How do you determine the angle of rotation from one position to another?

Back

The angle of rotation can be determined by measuring the smallest angle formed between the original position and the new position, in the direction of rotation.

Front

What is the effect of a 180° rotation on a figure?

Back

A 180° rotation flips the figure to the opposite side of the center of rotation.

Front

If point A is at (1, 2), what are the coordinates of A' after a 90° counterclockwise rotation?

Back

The coordinates of A' will be (-2, 1).