Reflections, Translations, Rotations and Glide Reflections

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 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 a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the notation for a translation of 4 units left and 3 units up?

Back

T<-4, 3>.

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 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 a glide reflection?

Back

A glide reflection is a transformation that combines a translation followed by a reflection over a line parallel to the direction of the translation.

Front

What is the composition of transformations?

Back

The composition of transformations is applying one transformation after another to a figure.