Dilations

Front

What is a dilation?

Back

A transformation that alters the size of a figure but keeps its shape, producing a similar figure.

Front

What happens when the scale factor of a dilation is greater than one?

Back

The dilation is an enlargement.

Front

What happens when the scale factor of a dilation is less than one?

Back

The dilation is a reduction.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

Does a dilation produce a congruent figure?

Back

No, a dilation produces a similar figure, not a congruent one.

Front

Does a dilation preserve the shape of a figure?

Back

Yes, a dilation preserves the shape but changes the size.

Front

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

Back

The figure remains unchanged.

Front

If a triangle is dilated by a scale factor of 2, how does its area change?

Back

The area increases by a factor of 4 (2 squared).

Front

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

Back

The dilated figure is similar to the original figure.

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, depending on the scale factor.