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 maintains its shape, using a scale factor.

Front

What does a scale factor of less than 1 indicate in a dilation?

Back

A scale factor of less than 1 indicates a reduction in size.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

A scale factor greater than 1 indicates an enlargement in size.

Front

How do you determine the scale factor when given the coordinates of a preimage and its image?

Back

Divide the coordinates of the image by the corresponding coordinates of the preimage.

Front

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

Back

The dimensions of the figure are doubled.

Front

What is the relationship between similar figures and dilations?

Back

Similar figures can be obtained through dilations, as they maintain the same shape but may differ in size.

Front

What is the formula for finding the missing side in similar figures?

Back

The ratio of corresponding sides of similar figures is equal to the scale factor.

Front

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

Back

A scale factor of 1 means the figure remains unchanged in size.

Front

How can you identify 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 significance of the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.