Dilations and Similar Figures Review

Front

What are similar figures?

Back

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

Front

What does it mean for angles in similar figures?

Back

All corresponding angles in similar figures are congruent (equal in measure).

Front

What is a scale factor in dilations?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure. It determines how much the figure is enlarged or reduced.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure reduces.

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

What does it mean if two figures are not similar?

Back

It means that either their corresponding angles are not equal or the ratios of their corresponding sides are not equal.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original by resizing it, using a scale factor.