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 is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you calculate the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

If point B(4, 3) is dilated by a scale factor of 3, what are the new coordinates?

Back

(12, 9) because (4*3, 3*3) = (12, 9).

Front

What is the formula for the scale factor?

Back

Front

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

Back

A'(2, 4), B'(6, 8), C'(10, 12) because each coordinate is multiplied by 2.

Front

What happens to the shape of a figure during a dilation?

Back

The shape remains the same, but the size changes according to the scale factor.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure is reduced to half its original size.

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Front

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

Back

A scale factor less than 1 reduces the figure.