Proportions and Similar Figures

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but not necessarily the same size.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, the ratios of the lengths of corresponding sides are equal.

Front

If two triangles are similar, what can be said about their areas?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

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 does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

If line AB corresponds with line XY, what can be inferred about their lengths?

Back

The lengths of line AB and line XY are proportional to the lengths of their corresponding sides in similar figures.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

What is the significance of corresponding sides in determining similarity?

Back

Corresponding sides must be in proportion for two figures to be considered similar.