Reflections and Rotations

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 for a point (x, y) reflected across the x-axis?

Back

The line of reflection is the x-axis, and the reflected point will be (x, -y).

Front

What is the line of reflection for a point (x, y) reflected across the y-axis?

Back

The line of reflection is the y-axis, and the reflected point will be (-x, y).

Front

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

Back

If the y-coordinates of the points change sign while the x-coordinates remain the same, it is a reflection across the x-axis.

Front

How do you identify a reflection across the y-axis?

Back

If the x-coordinates of the points change sign while the y-coordinates remain the same, it is a reflection across the y-axis.

Front

What is the result of reflecting the point (3, 5) across the x-axis?

Back

The reflected point is (3, -5).

Front

What is the result of reflecting the point (-2, 4) across the y-axis?

Back

The reflected point is (2, 4).

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.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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