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.

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 slides a figure from one position to another without turning it.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point called the center of rotation.

Front

Define reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, either enlarging or reducing it.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What is the result of a translation on a figure?

Back

The result of a translation is a figure that is congruent to the original figure.

Front

What is the line of reflection?

Back

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