Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape and proportions.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 indicates enlargement, while a scale factor between 0 and 1 indicates reduction.

Front

What type of dilation is represented by a scale factor k=5/4?

Back

Enlargement.

Front

What type of dilation occurs when the scale factor is between 0 and 1 (0 < k < 1)?

Back

Reduction.

Front

What type of dilation occurs when the scale factor k > 1?

Back

Enlargement.

Front

What is the scale factor for a dilation that results in a figure being half its original size?

Back

The scale factor is 1/2.

Front

What characteristic does a dilation preserve?

Back

Similarity.

Front

If a figure is dilated with a scale factor of 3, how does its area change?

Back

The area of the figure increases by a factor of 3^2 = 9.

Front

How does a dilation affect the angles of a geometric figure?

Back

A dilation preserves the angles of the figure; they remain unchanged.

Front

What is the effect of a dilation with a scale factor of 1?

Back

The figure remains unchanged; it is congruent to the original.