Dilations & Scale Factors

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 does a scale factor greater than 1 indicate?

Back

An enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A reduction of the figure.

Front

How do you express a dilation with a scale factor of 2 in algebraic notation?

Back

(x, y) → (2x, 2y)

Front

If two polygons are similar, what can be said about their corresponding angles?

Back

The corresponding angles are congruent.

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

The figure is reduced to half its original size.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

What is the relationship between the scale factor and the area of a figure?

Back

If the scale factor is k, the area of the new figure is k² times the area of the original figure.

Front

What happens to the lengths of sides in a dilation with a scale factor of 3?

Back

The lengths of the sides are tripled.

Front

How do you write the algebraic notation for a dilation with a scale factor of 1/3?

Back

(x, y) → (1/3x, 1/3y)