Dilations

Front

What is a dilation in geometry?

Back

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

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the dilated figure is compared to the original figure.

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Front

If a scale factor is less than 1, what happens to the figure?

Back

The figure shrinks.

Front

What is the scale factor if a figure is dilated from a size of 4 to a size of 2?

Back

The scale factor is 1/2.

Front

What is the scale factor if a figure is dilated from a size of 3 to a size of 9?

Back

The scale factor is 3.

Front

True or False: A dilation produces a congruent figure.

Back

False. A dilation produces a similar figure, not a congruent one.

Front

What are similar figures?

Back

Similar figures have the same shape but different sizes.

Front

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

Back

Multiply the original coordinates by the scale factor.

Front

If point A(2, 3) is dilated by a scale factor of 3, what are the coordinates of A'?

Back

A' would be (6, 9).