Transformations Test Study

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 specified angle in a specified direction.

Front

What are the coordinates of a point after a 180° rotation around the origin?

Back

The coordinates (x, y) become (-x, -y) after a 180° rotation around the origin.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. The transformation is (x, y) → (-x, y).

Front

What is the result of rotating the point (x, y) 90° counterclockwise around the origin?

Back

The coordinates transform to (-y, x).

Front

What is the rule for a 90° clockwise rotation around the origin?

Back

The coordinates transform to (y, -x).

Front

If point A is at (3, 4), what are the coordinates after a 180° rotation around the origin?

Back

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

Front

What is the image of the point (-3, -4) after a 90° counterclockwise rotation around the origin?

Back

The image will be (4, -3).

Front

How do you reflect a point over the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same. The transformation is (x, y) → (x, -y).

Front

What is the effect of a reflection over the line y = x on the coordinates (x, y)?

Back

The coordinates swap places: (x, y) → (y, x).

Front

What is the transformation rule for a 270° counterclockwise rotation around the origin?

Back

The coordinates transform to (y, -x).