Sequence of Transformations Involving Dilations Flashcard

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of operations that change the position, size, or orientation of a figure in a specific order.

Front

What are rigid transformations?

Back

Rigid transformations are movements of figures that preserve their shape and size, including translations, rotations, and reflections.

Front

What happens during a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the size of the figure.

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

A scale factor of 1/2 reduces the dimensions of the figure to half its original size.

Front

What is a translation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

How do you find the coordinates of a point after dilation?

Back

To find the coordinates after dilation, multiply each coordinate of the point by the scale factor.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.

Front

What is the order of transformations?

Back

The order of transformations matters because it can lead to different final positions and orientations of the figure.