Transformations & Symmetry

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

A 90° clockwise rotation turns the shape 90 degrees to the right around the center of rotation.

Front

What is line symmetry?

Back

Line symmetry occurs when a shape can be divided into two identical halves that are mirror images of each other.

Front

What is rotational symmetry?

Back

Rotational symmetry exists when a shape can be rotated around a center point and still look the same at certain angles.

Front

How do you translate a shape in the coordinate plane?

Back

To translate a shape, you add or subtract values from the x and y coordinates of each point of the shape.

Front

What is the transformation from point A(2,3) to point B(0,8)?

Back

The transformation is a translation of (x-2, y+5).

Front

Identify the transformation: A shape is flipped over a line. What is this called?

Back

This transformation is called reflection.

Front

What is the difference between line symmetry and rotational symmetry?

Back

Line symmetry involves a mirror line that divides a shape into two identical parts, while rotational symmetry involves rotating a shape around a point and having it look the same at certain angles.

Front

What type of symmetry does the letter 'Z' have?

Back

The letter 'Z' has rotational symmetry but does not have line symmetry.