Dilations and Scale Factor

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication

Front

Does a dilation produce a congruent figure?

Back

False

Front

If the point (8, 12) is dilated to become point (2, 3), what is the scale factor?

Back

¼

Front

If Triangle ABC is dilated by a scale factor of 1/2, what will be the coordinates of C'?

Back

(3, -1.5)

Front

If the scale factor is greater than one, what type of transformation occurs?

Back

An enlargement

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor k?

Back

The new coordinates are (kx, ky).

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

What is the effect of a scale factor between 0 and 1 on a figure?

Back

It reduces the size of the figure.