Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

What is translation in geometry?

Back

Translation is a type of rigid transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

The rule is (x + 2, y - 1).

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is reflection in geometry?

Back

Reflection is a type of rigid transformation where a figure is flipped over a line, creating a mirror image.

Front

If point A(3, 4) is reflected over the x-axis, what are the coordinates of A'?

Back

The coordinates of A' are (3, -4).

Front

What is rotation in geometry?

Back

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

Front

What is the angle of rotation for a quarter turn?

Back

The angle of rotation for a quarter turn is 90 degrees.