Reflections & Rotations

Front

What is a reflection in geometry?

Back

A reflection is a type of transformation that flips a figure over a line, creating a mirror image.

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.

Front

What does a translation do in geometry?

Back

A translation slides a figure from one position to another without changing its shape or orientation.

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

The rule is (x, y) → (x, -y).

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, y) → (-x, y).

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The rule is (x, y) → (-y, x).

Front

What is the rule for rotating a point (x, y) 180 degrees around the origin?

Back

The rule is (x, y) → (-x, -y).

Front

What is the rule for rotating a point (x, y) 270 degrees counterclockwise around the origin?

Back

The rule is (x, y) → (y, -x).

Front

If point K is at (5, 2), what are the coordinates of K after reflecting over the x-axis?

Back

The coordinates of K after reflecting over the x-axis are (5, -2).

Front

If point K is at (5, 2), what are the coordinates of K after reflecting over the y-axis?

Back

The coordinates of K after reflecting over the y-axis are (-5, 2).