Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes 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 shape during a dilation.

Front

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

Back

The size of the figure doubles.

Front

What happens to a figure when it is dilated by a scale factor of 1/2?

Back

The size of the figure is reduced to half its original size.

Front

How do you determine the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What is the dilation rule for a scale factor of 3?

Back

The dilation rule is (x, y) → (3x, 3y).

Front

What is the effect of a negative scale factor on a figure?

Back

A negative scale factor reflects the figure across the origin and changes its size.

Front

If Triangle ABC has vertices A(2, 3), B(4, 5), and C(6, 7), what are the coordinates after a dilation by a scale factor of 2?

Back

A'(4, 6), B'(8, 10), C'(12, 14).

Front

What is the relationship between the original figure and the dilated figure?

Back

The original figure and the dilated figure are similar, meaning they have the same shape but different sizes.

Front

What is the dilation rule for a scale factor of 1/3?

Back

The dilation rule is (x, y) → (1/3 x, 1/3 y).