transformations and symmetry

Front

What is rotational symmetry?

Back

A figure has rotational symmetry if it can be rotated around a central point and still look the same at certain angles.

Front

How many lines of reflection can a shape have?

Back

A shape can have multiple lines of reflection, depending on its symmetry. For example, a square has 4 lines of reflection.

Front

Describe the transformation: (x, y) -> (x-3, y)

Back

Translation 3 units to the left.

Front

What does it mean to translate a figure?

Back

To slide or move a figure without changing its shape or orientation.

Front

What is dilation in geometry?

Back

A transformation that alters the size of a figure, either enlarging or reducing it.

Front

What is the result of a dilation with a scale factor less than 1?

Back

Reduction of the figure.

Front

What is the difference between reflection and rotation?

Back

Reflection flips a figure over a line, while rotation turns a figure around a point.

Front

How can you identify a shape with line symmetry?

Back

A shape has line symmetry if it can be divided into two identical halves by a line.

Front

What is the effect of a 90-degree rotation on a point (x, y)?

Back

The new coordinates will be (-y, x).

Front

What is a transformation in geometry?

Back

A change in the position, size, or shape of a figure.