Reflections and Rotations Mini Flashcard

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The result is (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The result is (-x, y).

Front

How do you perform a 90° clockwise rotation of a point (x, y) around the origin?

Back

The result is (y, -x).

Front

How do you perform a 180° rotation of a point (x, y) around the origin?

Back

The result is (-x, -y).

Front

How do you perform a 270° clockwise rotation of a point (x, y) around the origin?

Back

The result is (-y, x).

Front

What is the general rule for reflecting a point across the line y = x?

Back

The result is (y, x).

Front

What is the definition of reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the definition of rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is the center of rotation when rotating a figure 270° clockwise?

Back

The center of rotation is typically the origin (0, 0) unless specified otherwise.

Front

What is the effect of a reflection across the x-axis on the y-coordinate of a point?

Back

The y-coordinate changes sign, while the x-coordinate remains the same.