Dilations and Scale Factors

Front

What is a dilation in mathematics?

Back

A transformation that alters the size of a figure, making it larger or smaller while maintaining its shape.

Front

What is a scale factor?

Back

A number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If the scale factor is 2, what happens to the size of the figure?

Back

The figure is enlarged to twice its original size.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction, making the figure smaller.

Front

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

Back

2

Front

What is the coordinate of the image of point B (4,9) under a dilation with center at the origin and scale factor of 2?

Back

B' (8, 18)

Front

What happens to the coordinates of a point (x, y) under a dilation with scale factor k?

Back

The new coordinates become (kx, ky).

Front

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

Back

A reduction, making the figure half its original size.

Front

What is the result of a dilation with a scale factor of 3?

Back

The figure is enlarged to three times its original size.

Front

What does it mean if a dilation is described as an enlargement?

Back

The new figure is larger than the original figure.