Sequence of Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the main types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

A 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 a dilation?

Back

A dilation is a transformation that changes the size of a shape by a scale factor, while maintaining its shape.

Front

What is a scale factor in dilation?

Back

A scale factor is a number that describes how much a shape is enlarged or reduced during a dilation.

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is the difference between similarity transformations and rigid motions?

Back

Similarity transformations change the size of a figure (like dilations) but preserve the shape, while rigid motions preserve both shape and size.

Front

How do you perform a reflection over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).