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.

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 if the image is half the size of the original?

Back

The scale factor is 1/2.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but different sizes.

Front

If a dilation has a scale factor of -2, what happens to the figure?

Back

The figure is enlarged and reflected across the origin.

Front

True or False: A dilation can only be an enlargement.

Back

False. A dilation can be both an enlargement and a reduction.

Front

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

Back

The figure remains the same size.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the formula for finding the scale factor between two similar figures?

Back

Scale Factor = Length of side in image / Length of corresponding side in original.