Sequence of Transformations Involving Dilations Flashcard

Front

What is a Dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Front

What are Rigid Transformations?

Back

Rigid transformations are transformations that preserve the shape and size of a figure, including translations, reflections, and rotations.

Front

If segment AB is 3 units long and is dilated by a factor of 5, what is the length of segment A'B'?

Back

15 units.

Front

True or False: Dilations only enlarge figures.

Back

False. Dilations can both enlarge and reduce figures depending on the scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

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

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

A scale factor greater than 1 enlarges the size of the figure.

Front

What is a translation in geometry?

Back

A translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is a reflection in geometry?

Back

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