Transformations Basics

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 four main types of transformations?

Back

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

Front

Define translation in the context of transformations.

Back

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

Front

What is a rotation in geometry?

Back

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

Front

Explain what dilation means in geometry.

Back

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

Front

What is a reflection in geometry?

Back

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

Front

How does a transformation affect the size of a shape?

Back

Transformations like dilation can change the size of a shape, while translations, rotations, and reflections do not change the size.

Front

What is the difference between a rigid transformation and a non-rigid transformation?

Back

A rigid transformation preserves the shape and size of a figure (translation, rotation, reflection), while a non-rigid transformation alters the size (dilation).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is rotated during a rotation transformation.

Front

How do you determine the scale factor in a dilation?

Back

The scale factor in a dilation is determined by the ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the original shape.