rigid transformations and symmetry

Front

What is a rigid transformation?

Back

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

Front

Define 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 (a, b)?

Back

The rule for translating a point (x, y) by (a, b) is (x + a, y + b).

Front

What does it mean to reflect a shape over a line?

Back

To reflect a shape over a line means to create a mirror image of the shape across that line.

Front

How do you reflect a point (x, y) over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

What is the effect of rotating a shape 90 degrees clockwise?

Back

Rotating a shape 90 degrees clockwise transforms the point (x, y) to (y, -x).

Front

What is symmetry in geometry?

Back

Symmetry in geometry refers to a balance or similarity in shape and size on either side of a dividing line or around a central point.

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry.

Front

What is the line of symmetry for a circle?

Back

A circle has an infinite number of lines of symmetry.

Front

How do you determine the number of lines of symmetry in a regular polygon?

Back

A regular polygon has as many lines of symmetry as it has sides.