Dilations and Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilations, it determines how much larger or smaller a figure will be compared to the original.

Front

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

Back

The figure enlarges.

Front

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

Back

The figure reduces.

Front

What does a scale factor of 1 indicate?

Back

A scale factor of 1 indicates that the figure remains the same size.

Front

What is the scale factor from a small shape to a big shape if the small shape has a length of 3 and the big shape has a length of 6?

Back

The scale factor is 2.

Front

What is the scale factor from a big shape to a small shape if the big shape has a length of 10 and the small shape has a length of 5?

Back

The scale factor is 1/2.

Front

What does it mean for an image to be dilated?

Back

To dilate an image means to resize it either larger or smaller while maintaining its shape.

Front

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

Back

The area of the shape increases by a factor of 3^2, or 9.

Front

If a shape is reduced by a scale factor of 1/4, what happens to its perimeter?

Back

The perimeter of the shape is reduced by a factor of 1/4.

Front

What is the relationship between the scale factor and the dimensions of a shape?

Back

The scale factor directly affects the dimensions of a shape; multiplying the dimensions by the scale factor changes the size of the shape.