Properties of Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

If the scale factor is 1/2, what type of transformation occurs?

Back

Reduction.

Front

If the scale factor is 2, what type of transformation occurs?

Back

Enlargement.

Front

What is the scale factor from ΔDEF to ΔABC if ΔABC is half the size of ΔDEF?

Back

1/2.

Front

How do you determine if a dilation enlarges or reduces a figure?

Back

Compare the scale factor to 1: if it's greater than 1, it enlarges; if it's less than 1, it reduces.

Front

What happens to the dimensions of a triangle when a scale factor of 1/2 is applied?

Back

The dimensions of the triangle are halved, making it smaller.

Front

What is the relationship between the old image and the new image in a dilation?

Back

The old image is the original figure, and the new image is the figure after the dilation has been applied.

Front

If a triangle is dilated with a scale factor of 3/2, what happens to its area?

Back

The area increases by a factor of (3/2)² = 9/4.

Front

What is the scale factor from ABC to DEF if DEF is twice the size of ABC?

Back

2.