Transformations and Symmetry Review

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

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is symmetry in geometry?

Back

Symmetry is a property where a shape is invariant under certain transformations, such as reflection or rotation.

Front

How do you perform a 180° rotation counterclockwise?

Back

To perform a 180° rotation counterclockwise, you can reflect over the x-axis and then over the y-axis.

Front

What are the coordinates of point C(3, 2) after the transformation (x, y) → (-x, -y)?

Back

The coordinates of C' after the transformation are (-3, -2).

Front

What does the notation T represent?

Back

T represents a translation transformation that moves a shape by 'a' units horizontally and 'b' units vertically.

Front

What is the result of rotating a point (x, y) 270° counterclockwise about the origin?

Back

The result is the point (y, -x).