Dilations and Similarity

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

If triangle ABC is similar to triangle XYZ, what does this imply?

Back

It implies that the corresponding angles are equal and the lengths of corresponding sides are proportional.

Front

What is the scale factor of a dilation?

Back

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

Front

If the scale factor of a dilation is 2, what type of transformation occurs?

Back

An enlargement occurs.

Front

Back

A reduction occurs.

Front

How do you find the image of a point after dilation?

Back

Multiply the coordinates of the point by the scale factor.

Front

Back

The image is (-5,-3).

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size.