Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

Translation, Rotation, Reflection, Dilation.

Front

What is a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

A reflection flips a shape over a line, creating a mirror image.

Front

What is dilation?

Back

A dilation resizes a shape by a scale factor, either enlarging or reducing it.

Front

What does congruence mean in geometry?

Back

Congruence means that two shapes are the same size and shape.

Front

What is the difference between congruent and similar shapes?

Back

Congruent shapes are the same size and shape, while similar shapes have the same shape but may differ in size.

Front

What does it mean for a figure to be invariant under a transformation?

Back

A figure is invariant under a transformation if it remains unchanged after the transformation is applied.

Front

What is the center of rotation?

Back

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