Intro to Scale Factor Dilations

Front

What is a scale factor in dilations?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

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

Back

The figure enlarges.

Front

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

Back

The figure reduces in size.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but different sizes.

Front

What does a dilation do to a figure?

Back

A dilation creates a similar figure by enlarging or reducing it.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides after a dilation with a scale factor of 2?

Back

The new side lengths will be 6, 8, and 10.

Front

True or False: A dilation can change the shape of a figure.

Back

False. A dilation does not change the shape, only the size.

Front

What is the center of dilation?

Back

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

Front

If a rectangle is dilated by a scale factor of 0.5, what happens to its area?

Back

The area is reduced to one-fourth of the original area.

Front

What is the formula for finding the new coordinates of a point after dilation?

Back

New coordinates = (scale factor) * (original coordinates).