Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

If a triangle is dilated by a scale factor of 1/2, what happens to its size?

Back

The triangle will be reduced to half its original size.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

True or False: A dilation produces a figure that is not similar to the original figure.

Back

False. A dilation produces a similar figure.

Front

How do you find the image of a point (x, y) under a dilation with scale factor k?

Back

The image is found using the formula: (kx, ky).

Front

What is the image of the point (4, 5) under a dilation with scale factor 3?

Back

The image is (12, 15).

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What is the function notation for a dilation with scale factor k?

Back

f(x, y) = (kx, ky).