Transformations: Orientation and Congruence

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a set of points in a plane to another set of points, changing their position, size, or orientation.

Front

What are the types of transformations?

Back

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

Front

What is a translation?

Back

A translation moves every point of a figure the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What is a dilation?

Back

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

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the original figure and the transformed figure are the same size and shape.

Front

What does it mean for a transformation to preserve orientation?

Back

A transformation preserves orientation if the order of points in the figure remains the same after the transformation.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the size of the image to the size of the original figure.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are the same size and shape, while similar figures have the same shape but different sizes.