Transformations

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, called the image.

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 reflection in geometry?

Back

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

Front

Explain rotation in geometry.

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 effect of a 90° clockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

The new coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

The new coordinates become (-x, y).

Front

How do you perform a 180° rotation about the origin on a point (x, y)?

Back

The new coordinates become (-x, -y).

Front

What is the result of reflecting the point (3, 2) over the y-axis?

Back

The reflected point is (-3, 2).