Similarity and Transformations

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for sides to be proportional?

Back

Sides are proportional when the ratios of their lengths are equal.

Front

What is a scale factor?

Back

A number that scales, or multiplies, a quantity. In transformations, it determines how much a figure is enlarged or reduced.

Front

What happens to the lengths of a figure when it undergoes dilation with a scale factor greater than 1?

Back

The figure is enlarged.

Front

What happens to the lengths of a figure when it undergoes dilation with a scale factor less than 1?

Back

The figure is shrunk.

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 lengths will be 6, 8, and 10.

Front

What are corresponding sides?

Back

Sides in similar figures that are in the same relative position.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles are equal in measure.

Front

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

Back

The area is reduced to 1/4 of the original area.

Front

What is the scale factor if a triangle's side length changes from 6 to 3?

Back

The scale factor is 1/2.