Dilations

Front

What is a dilation in geometry?

Back

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

Front

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

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than one indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates of A' after a dilation by a scale factor of 3?

Back

A' would be (3, 6).

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 0.5.

Front

True or False: A dilation can only be an enlargement.

Back

False, a dilation can be either an enlargement or a reduction.

Front

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

Back

The new coordinates will be (kx, ky).

Front

If a dilation has a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

True or False: A dilation with a scale factor of 1.5 will make the image smaller.

Back

False, it will make the image larger.

Front

What is the effect of a negative scale factor in a dilation?

Back

It reflects the figure across the origin and changes its size.