Dilations Practice

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 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

If the scale factor is 1, what happens to the figure during dilation?

Back

The figure remains unchanged.

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What is the center of dilation?

Back

The point from which the figure is enlarged or reduced.

Front

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

Back

A'(4,6) because (2*2, 3*2) = (4, 6).

Front

What happens to the distances between points during a dilation?

Back

The distances are multiplied by the scale factor.

Front

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

Back

A'(3,3), B'(6,6), C'(9,9).

Front

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

Back

It reflects the figure across the center of dilation and changes its size.