Explore Dilation and Its Properties

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but maintains its shape. It is defined by a scale factor that determines how much the figure is enlarged or reduced.

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Front

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

Back

It indicates an enlargement of the figure.

Front

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

Back

It indicates a reduction of the figure.

Front

Back

The original figure is enlarged to three times its size.

Front

Back

The transformation rule is (x, y) → (0.5x, 0.5y), indicating a reduction.

Front

In similar figures, what can be said about their corresponding angles?

Back

All corresponding angles in similar figures are congruent.

Front

In a dilation, what happens to the distances between points?

Back

The distances between points are multiplied by the scale factor.

Front

What is the difference between dilation and translation?

Back

Dilation changes the size of a figure, while translation moves it without changing its size or shape.

Front

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

Back

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