Sequence of 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 a mirror image.

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.

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of two or more transformations applied one after the other to a shape.

Front

How does a 180-degree rotation affect a shape?

Back

A 180-degree rotation turns a shape halfway around a point, resulting in a shape that is upside down.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates of its points.