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 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

Explain reflection in geometry.

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create its mirror image.

Front

How do you find the image of a point after a reflection over the y-axis?

Back

To find the image of a point (x, y) after reflection over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise about the origin?

Back

When a point (x, y) is rotated 90° counterclockwise about the origin, its new coordinates become (-y, x).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

A 180° rotation about the origin changes the coordinates of a point (x, y) to (-x, -y).

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.