Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, producing a similar figure.

Front

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

Back

It indicates an enlargement of the figure.

Front

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

Back

It indicates a reduction of the figure.

Front

What is the scale factor if a point is dilated from (8, 12) to (2, 3)?

Back

The scale factor is ¼.

Front

What type of figures are produced by a dilation?

Back

A dilation produces similar figures.

Front

What are the two types of dilations?

Back

Enlargements and reductions.

Front

If a point (x, y) is dilated by a scale factor k, what is the new point?

Back

The new point is (kx, ky).

Front

How do you determine the scale factor from two corresponding points in a dilation?

Back

Divide the coordinates of the dilated point by the coordinates of the original point.

Front

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

Back

The figure remains unchanged.

Front

If Point B is at (3, 2) and is dilated by a scale factor of 1/2, what are the coordinates of the new point?

Back

The new coordinates are (1.5, 1).