The Basics of Dilations

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

What is the scale factor in a dilation?

Back

A number that determines how much the figure is enlarged or reduced.

Front

If a dilation has a scale factor of 1, what happens to the figure?

Back

The figure remains the same size; it is neither enlarged nor reduced.

Front

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

Back

Multiply the original coordinates by the scale factor.

Front

What is the result of a dilation with a scale factor of 1/2 on a triangle with vertices (2, 4), (4, 6), (6, 2)?

Back

The new vertices will be (1, 2), (2, 3), (3, 1).

Front

What is the effect of a dilation with a scale factor of 3 on a rectangle with dimensions 2 units by 4 units?

Back

The new dimensions will be 6 units by 12 units.

Front

In a dilation, what is the term for the original figure?

Back

The pre-image.

Front

What is the term for the new figure after a dilation?

Back

The image.