Dilations and Scale Factor Practice

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 a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 2, resulting in an enlargement.

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the scale factor if a triangle with sides 3, 4, and 5 is dilated to sides 6, 8, and 10?

Back

The scale factor is 2.

Front

If a rectangle has a length of 10 and a width of 5, what are the dimensions after a dilation with a scale factor of 1/2?

Back

The new dimensions will be 5 (length) and 2.5 (width).

Front

What is the relationship between similar figures and dilations?

Back

Similar figures are related by dilations, as they have the same shape but different sizes, connected by a scale factor.

Front

If two figures are similar and one has a side length of 8, what is the corresponding side length if the scale factor is 1/4?

Back

The corresponding side length is 2.

Front

What is the formula to find the scale factor between two similar figures?

Back

Scale factor = (length of side in image) / (length of corresponding side in original).