Dilation & Scale Factor

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor?

Back

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

Front

If point A(3, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

A' (6, 12)

Front

How do you calculate the coordinates of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor.

Front

What happens to the length of a line segment when it is dilated by a scale factor of 1/3?

Back

The length of the line segment is reduced to one-third of its original length.

Front

If a rectangle is dilated by a scale factor of 4, how does its area change?

Back

The area increases by a factor of 16 (4 squared) because area is a two-dimensional measure.

Front

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

Back

It reduces the size of the figure.

Front

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

Back

It enlarges the size of the figure.

Front

If a line segment has a length of 12 units and after dilation the image length is 4 units, what was the scale factor?

Back

1/3

Front

State the coordinates 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)